Pith Number

pith:2BLZIDGM

pith:2015:2BLZIDGMHNZC6LEPX45725AIUD

not attested not anchored not stored refs pending

The minimum number of Fox colors modulo 13 is 5

Filipe Bento, Pedro Lopes

arxiv:1508.07559 v2 · 2015-08-30 · 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{2BLZIDGMHNZC6LEPX45725AIUD}

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	2026-05-18T01:31:10.518925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d057940ccc3b722f2c8fbf3bfd7408a0c2d5a4dea6e58ef8f3ae3462b01ff194

Aliases

arxiv: 1508.07559 · arxiv_version: 1508.07559v2 · doi: 10.48550/arxiv.1508.07559 · pith_short_12: 2BLZIDGMHNZC · pith_short_16: 2BLZIDGMHNZC6LEP · pith_short_8: 2BLZIDGM

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/2BLZIDGMHNZC6LEPX45725AIUD \
  | 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: d057940ccc3b722f2c8fbf3bfd7408a0c2d5a4dea6e58ef8f3ae3462b01ff194

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77b64fe8bfbf8d883bf20758048cfd574ef8bbfa86500cceff919f4bb101c308",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-08-30T12:10:52Z",
    "title_canon_sha256": "7362d739ee62c92790358519659c8631913d990b47ad718c9955223b07636de8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07559",
    "kind": "arxiv",
    "version": 2
  }
}