Pith Number

pith:7PATRP52

pith:2014:7PATRP52ONAOZVZKA3QK57VP5G

not attested not anchored not stored refs pending

Augmented generalized happy functions

Breeanne Baker Swart, Christina Eubanks-Turner, Helen G. Grundman, Kristen A. Beck, Laurie Zack, May Mei, Susan Crook

arxiv:1410.0297 v2 · 2014-10-01 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7PATRP52ONAOZVZKA3QK57VP5G}

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	2026-05-18T01:04:41.820535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbc138bfba7340ecd72a06e0aefeafe9914e7a6b57628ed9c750e5b70401b5de

Aliases

arxiv: 1410.0297 · arxiv_version: 1410.0297v2 · doi: 10.48550/arxiv.1410.0297 · pith_short_12: 7PATRP52ONAO · pith_short_16: 7PATRP52ONAOZVZK · pith_short_8: 7PATRP52

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/7PATRP52ONAOZVZKA3QK57VP5G \
  | 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: fbc138bfba7340ecd72a06e0aefeafe9914e7a6b57628ed9c750e5b70401b5de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "078f9a8601bdf8f1a79bab2021aaac762cb94a3f595fdf23db091cb11a8bd35e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-10-01T17:18:59Z",
    "title_canon_sha256": "0a8f4bb66b44e73cb21635cc5dca9b570d1af85b1d4a9f87ce1281efc47e59f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.0297",
    "kind": "arxiv",
    "version": 2
  }
}