Pith Number

pith:YFA3IRA2

pith:2012:YFA3IRA2PKVJVMTO7OGFWQQOFR

not attested not anchored not stored refs pending

An index formula for simple graphs

Oliver Knill

arxiv:1205.0306 v1 · 2012-05-02 · math.DG · cs.CG · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YFA3IRA2PKVJVMTO7OGFWQQOFR}

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	2026-05-18T03:56:34.818370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c141b4441a7aaa9ab26efb8c5b420e2c4d700d8d488cffd6e6ffe210c0f5b870

Aliases

arxiv: 1205.0306 · arxiv_version: 1205.0306v1 · doi: 10.48550/arxiv.1205.0306 · pith_short_12: YFA3IRA2PKVJ · pith_short_16: YFA3IRA2PKVJVMTO · pith_short_8: YFA3IRA2

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/YFA3IRA2PKVJVMTO7OGFWQQOFR \
  | 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: c141b4441a7aaa9ab26efb8c5b420e2c4d700d8d488cffd6e6ffe210c0f5b870

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad0c0f4879470a334d8abcf1d35d92318cf0e721e72b21f90ee91000b21ace4b",
    "cross_cats_sorted": [
      "cs.CG",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-05-02T02:37:04Z",
    "title_canon_sha256": "47b02a7815c4e46cfb9ba764be44323dc39b22acc5939d87d5f7dd6664b15708"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0306",
    "kind": "arxiv",
    "version": 1
  }
}