Pith Number

pith:W6RF6T7A

pith:2012:W6RF6T7A72XL3SDXBNVKJDSIX3

not attested not anchored not stored refs pending

A regularity lemma and twins in words

Maria Axenovich, Svetlana Puzynina, Yury Person

arxiv:1204.2180 v1 · 2012-04-10 · math.CO · cs.DM · q-bio.QM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W6RF6T7A72XL3SDXBNVKJDSIX3}

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	2026-05-18T03:58:13.090768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7a25f4fe0feaebdc8770b6aa48e48bef450e368dafb1c78f1acca15b3b15b64

Aliases

arxiv: 1204.2180 · arxiv_version: 1204.2180v1 · doi: 10.48550/arxiv.1204.2180 · pith_short_12: W6RF6T7A72XL · pith_short_16: W6RF6T7A72XL3SDX · pith_short_8: W6RF6T7A

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/W6RF6T7A72XL3SDXBNVKJDSIX3 \
  | 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: b7a25f4fe0feaebdc8770b6aa48e48bef450e368dafb1c78f1acca15b3b15b64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "981eba4d753061eb30f547825a8d2350c7e417c10c20a4021d1eec7ac4d07266",
    "cross_cats_sorted": [
      "cs.DM",
      "q-bio.QM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-10T15:16:18Z",
    "title_canon_sha256": "e2dfe492d760df9ef2a35f0c1232bbee677f935aa106c7ef571ebe9f8c000c16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2180",
    "kind": "arxiv",
    "version": 1
  }
}