Pith Number

pith:4GELLXWQ

pith:2013:4GELLXWQY63C7QDP4GX7U44BPA

not attested not anchored not stored refs pending

Recurrence properties and disjointness on the induced spaces

Jie Li, Kesong Yan, Xiangdong Ye

arxiv:1312.2056 v2 · 2013-12-07 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GELLXWQY63C7QDP4GX7U44BPA}

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	2026-05-18T03:03:31.582140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e188b5ded0c7b62fc06fe1affa73817832e34eea0627b97198498e1dae16800d

Aliases

arxiv: 1312.2056 · arxiv_version: 1312.2056v2 · doi: 10.48550/arxiv.1312.2056 · pith_short_12: 4GELLXWQY63C · pith_short_16: 4GELLXWQY63C7QDP · pith_short_8: 4GELLXWQ

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/4GELLXWQY63C7QDP4GX7U44BPA \
  | 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: e188b5ded0c7b62fc06fe1affa73817832e34eea0627b97198498e1dae16800d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4940832328ee624a9673a4284c2af35f21d2557aebcd6cf65122fbe26bd5a5ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-12-07T03:42:54Z",
    "title_canon_sha256": "ac61a12d09cbad95c4c43ed3f556378b6507baf6a1f53d8998ccbdf1cd93a1c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2056",
    "kind": "arxiv",
    "version": 2
  }
}