Pith Number

pith:4IAI7QUW

pith:2014:4IAI7QUWIYBEE6W27KPBDVUGPH

not attested not anchored not stored refs pending

Coloring graphs using topology

Oliver Knill

arxiv:1412.6985 v1 · 2014-12-22 · math.CO · cs.CG · cs.DM · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4IAI7QUWIYBEE6W27KPBDVUGPH}

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	2026-05-18T02:30:45.840132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2008fc2964602427adafa9e11d68679e3c0958adc5a1b0b34e153aeb7d8845c

Aliases

arxiv: 1412.6985 · arxiv_version: 1412.6985v1 · doi: 10.48550/arxiv.1412.6985 · pith_short_12: 4IAI7QUWIYBE · pith_short_16: 4IAI7QUWIYBEE6W2 · pith_short_8: 4IAI7QUW

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/4IAI7QUWIYBEE6W27KPBDVUGPH \
  | 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: e2008fc2964602427adafa9e11d68679e3c0958adc5a1b0b34e153aeb7d8845c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47ca471a033d5a5d24a9a451b88afd0e7354ddb72bd57c9a3c5f391c2ac35992",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.DM",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-22T14:06:37Z",
    "title_canon_sha256": "1801b933a2cd9ec5aa07991230672d03d86115be89faed54eccadea1420037b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6985",
    "kind": "arxiv",
    "version": 1
  }
}