Pith Number

pith:WLR7AJKW

pith:2016:WLR7AJKWV74APGEUQNEZBJCA42

not attested not anchored not stored refs pending

Tangles and the Mona Lisa

Geoff Whittle, Reinhard Diestel

arxiv:1603.06652 v3 · 2016-03-22 · math.CO · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WLR7AJKWV74APGEUQNEZBJCA42}

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	2026-05-18T00:31:05.536589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2e3f02556aff8079894834990a440e6b7089ff25d06a6d9cb674e98596f955f

Aliases

arxiv: 1603.06652 · arxiv_version: 1603.06652v3 · doi: 10.48550/arxiv.1603.06652 · pith_short_12: WLR7AJKWV74A · pith_short_16: WLR7AJKWV74APGEU · pith_short_8: WLR7AJKW

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/WLR7AJKWV74APGEUQNEZBJCA42 \
  | 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: b2e3f02556aff8079894834990a440e6b7089ff25d06a6d9cb674e98596f955f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0ab4ff2fdc301f28f0baa156441c68b884ff794fbdfa9ad236404bb6fe6d9a0",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-22T01:05:37Z",
    "title_canon_sha256": "76e5d05b9096e407beb174d4dbca68de27744d7fc1a30a9f45436f393018bd9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06652",
    "kind": "arxiv",
    "version": 3
  }
}