Pith Number

pith:HXPMFYEH

pith:2018:HXPMFYEH52WYFRGU5VFSBJZJUU

not attested not anchored not stored refs pending

Graph-counting polynomials for oriented graphs

David Ruelle

arxiv:1806.08665 v1 · 2018-06-22 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HXPMFYEH52WYFRGU5VFSBJZJUU}

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	2026-05-18T00:04:55.840230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ddec2e087eead82c4d4ed4b20a729a521a0712ef56317871600e493d4fae704

Aliases

arxiv: 1806.08665 · arxiv_version: 1806.08665v1 · doi: 10.48550/arxiv.1806.08665 · pith_short_12: HXPMFYEH52WY · pith_short_16: HXPMFYEH52WYFRGU · pith_short_8: HXPMFYEH

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/HXPMFYEH52WYFRGU5VFSBJZJUU \
  | 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: 3ddec2e087eead82c4d4ed4b20a729a521a0712ef56317871600e493d4fae704

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe8f91f1395c82ff0f43fd44bc501a0ea1c4ca2a5f73fc8a56c6fd3c426a0626",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-22T13:50:00Z",
    "title_canon_sha256": "cddaaf55673285d250d624cff2133e92c499c2edf4502734876050d3f9141474"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.08665",
    "kind": "arxiv",
    "version": 1
  }
}