Pith Number

pith:MUPQL774

pith:2012:MUPQL774YIRF32VTIAW3WVBHDQ

not attested not anchored not stored refs pending

Quantization of gauge fields, graph polynomials and graph cohomology

Dirk Kreimer, Matthias Sars, Walter D. van Suijlekom

arxiv:1208.6477 v4 · 2012-08-31 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MUPQL774YIRF32VTIAW3WVBHDQ}

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.

Receipt and verification

First computed	2026-05-18T01:54:49.058654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

651f05fffcc2225deab3402dbb54271c38307f96a036bf930b0ba748aeb127f1

Aliases

arxiv: 1208.6477 · arxiv_version: 1208.6477v4 · doi: 10.48550/arxiv.1208.6477 · pith_short_12: MUPQL774YIRF · pith_short_16: MUPQL774YIRF32VT · pith_short_8: MUPQL774

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/MUPQL774YIRF32VTIAW3WVBHDQ \
  | 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: 651f05fffcc2225deab3402dbb54271c38307f96a036bf930b0ba748aeb127f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "257171cd2d410e830eb2942bc8098069062a34c9a04d0714578e3b481901f0bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-08-31T12:31:25Z",
    "title_canon_sha256": "c921966ec2d1b3f5cd21dfeb97ae5de8e0fd3a073bfa105016a2ae056e2a9272"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.6477",
    "kind": "arxiv",
    "version": 4
  }
}