Pith Number

pith:CBPFGMHI

pith:2017:CBPFGMHIKIROQ3A7A7EY7Q57PA

not attested not anchored not stored refs pending

Graph Invariants with Connections to the Feynman Period in $\phi^4$ Theory

Iain Crump

arxiv:1704.06350 v1 · 2017-04-20 · math.CO · 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{CBPFGMHIKIROQ3A7A7EY7Q57PA}

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	2026-05-18T00:45:59.927062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

105e5330e85222e86c1f07c98fc3bf782ec0b537cf673dbbd1e2f5b1df5aeb24

Aliases

arxiv: 1704.06350 · arxiv_version: 1704.06350v1 · doi: 10.48550/arxiv.1704.06350 · pith_short_12: CBPFGMHIKIRO · pith_short_16: CBPFGMHIKIROQ3A7 · pith_short_8: CBPFGMHI

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/CBPFGMHIKIROQ3A7A7EY7Q57PA \
  | 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: 105e5330e85222e86c1f07c98fc3bf782ec0b537cf673dbbd1e2f5b1df5aeb24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ed331ccd14e11bf079baf23a79c83b855c7bac30b719ea4fdcbb65ac7739dcc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-04-20T21:47:11Z",
    "title_canon_sha256": "f1a2c9bf8b3bb0bfbe94fe2109fe69deae6175477be51b747e563f3e6a0816d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.06350",
    "kind": "arxiv",
    "version": 1
  }
}