Pith Number

pith:5BN6FANC

pith:2009:5BN6FANC3QJRFVF5ORJANWGKRD

not attested not anchored not stored refs pending

Combinatorial Dyson-Schwinger equations in noncommutative field theory

Adrian Tanasa, Dirk Kreimer

arxiv:0907.2182 v1 · 2009-07-13 · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5BN6FANC3QJRFVF5ORJANWGKRD}

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	2026-05-18T03:31:18.251255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e85be281a2dc1312d4bd745206d8ca88c683b24dc99f80ec074a33ad43f4c1c3

Aliases

arxiv: 0907.2182 · arxiv_version: 0907.2182v1 · doi: 10.48550/arxiv.0907.2182 · pith_short_12: 5BN6FANC3QJR · pith_short_16: 5BN6FANC3QJRFVF5 · pith_short_8: 5BN6FANC

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/5BN6FANC3QJRFVF5ORJANWGKRD \
  | 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: e85be281a2dc1312d4bd745206d8ca88c683b24dc99f80ec074a33ad43f4c1c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1698378e5983de1cfc93b9096cee8bf77c7f0cc1f123260d8181db196fecf5b5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-07-13T14:50:28Z",
    "title_canon_sha256": "58884192fcad2932bb53cc6d4881d37db23d900b53f1840838f89e5d2e3cc293"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2182",
    "kind": "arxiv",
    "version": 1
  }
}