Pith Number

pith:SNQXC4DY

pith:2019:SNQXC4DYN3C2PVF66AB7ZIBPTN

not attested not anchored not stored refs pending

From Kontsevich Graphs to Feynman graphs, a Viewpoint from the Star Products of Scalar Fields

Zhou Mai

arxiv:1908.09666 v4 · 2019-08-26 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SNQXC4DYN3C2PVF66AB7ZIBPTN}

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	2026-07-05T06:47:09.570067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93617170786ec5a7d4bef003fca02f9b5ab72f4eb8e77bd98f9f0b0d98d4316d

Aliases

arxiv: 1908.09666 · arxiv_version: 1908.09666v4 · doi: 10.48550/arxiv.1908.09666 · pith_short_12: SNQXC4DYN3C2 · pith_short_16: SNQXC4DYN3C2PVF6 · pith_short_8: SNQXC4DY

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/SNQXC4DYN3C2PVF66AB7ZIBPTN \
  | 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: 93617170786ec5a7d4bef003fca02f9b5ab72f4eb8e77bd98f9f0b0d98d4316d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ded93fc2ed5d8d8cbff54b44ad43d987b27d077879ba2d26db601071eeec2654",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-08-26T13:22:07Z",
    "title_canon_sha256": "526051291f601b9c91abc3a076604e2e084cb2e13b11a888f41518505479715c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09666",
    "kind": "arxiv",
    "version": 4
  }
}