Pith Number

pith:DW5SN7Y5

pith:1997:DW5SN7Y5PDJ3F6FJUP3W4B3ASP

not attested not anchored not stored refs pending

On the Hopf algebra structure of perturbative quantum field theories

Dirk Kreimer

arxiv:q-alg/9707029 v4 · 1997-07-23 · q-alg · hep-th · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DW5SN7Y5PDJ3F6FJUP3W4B3ASP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

3 papers in Pith

The $\mu$-extension of iterated integrals and nested sums

Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders

Graphical Functions by Examples

Receipt and verification

First computed	2026-07-04T15:27:37.678958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dbb26ff1d78d3b2f8a9a3f76e076093c8d06f81b0a50d474536512ad66026d5

Aliases

arxiv: q-alg/9707029 · arxiv_version: q-alg/9707029v4 · doi: 10.48550/arxiv.q-alg/9707029 · pith_short_12: DW5SN7Y5PDJ3 · pith_short_16: DW5SN7Y5PDJ3F6FJ · pith_short_8: DW5SN7Y5

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/DW5SN7Y5PDJ3F6FJUP3W4B3ASP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1dbb26ff1d78d3b2f8a9a3f76e076093c8d06f81b0a50d474536512ad66026d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "769c8d5b2fecabcf78f3db597dcc25c740e63ead635516a8423c8eb5d5028f5b",
    "cross_cats_sorted": [
      "hep-th",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "q-alg",
    "submitted_at": "1997-07-23T15:21:10Z",
    "title_canon_sha256": "8bc3bec2e7872595ab1a70fd0cbd7af23411f9be8ff1e9ccc2427a4dfc6e3056"
  },
  "schema_version": "1.0",
  "source": {
    "id": "q-alg/9707029",
    "kind": "arxiv",
    "version": 4
  }
}