pith. sign in
Pith Number

pith:FNUMG37Z

pith:2015:FNUMG37ZAYJBPIA5AGT3N4UNWF
not attested not anchored not stored refs pending

Note on polynomial recurrence

Hao Pan

arxiv:1502.07203 v2 · 2015-02-25 · math.CO · math.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FNUMG37ZAYJBPIA5AGT3N4UNWF}

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 2026-05-18T02:26:10.027479Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2b68c36ff9061217a01d01a7b6f28db176537e01ac404d87dcdd5e4d9603859b

Aliases

arxiv: 1502.07203 · arxiv_version: 1502.07203v2 · doi: 10.48550/arxiv.1502.07203 · pith_short_12: FNUMG37ZAYJB · pith_short_16: FNUMG37ZAYJBPIA5 · pith_short_8: FNUMG37Z
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FNUMG37ZAYJBPIA5AGT3N4UNWF \
  | 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: 2b68c36ff9061217a01d01a7b6f28db176537e01ac404d87dcdd5e4d9603859b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c375e4ee14644745f3687165a6a99197f633d72caad147df431ad048e6f3209e",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-25T15:37:19Z",
    "title_canon_sha256": "cc3c032ee43ae099d38072be811eb9e072aba3ae8f1fa34d824a29890790f4a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07203",
    "kind": "arxiv",
    "version": 2
  }
}