Pith Number

pith:HGGSABIT

pith:2012:HGGSABITB7VRKKLQCKAQOM2ENG

not attested not anchored not stored refs pending

The Frobenius-Euler function and its applications

Deyao Gao, Mehmet Acikgoz, Serkan Araci

arxiv:1206.2280 v2 · 2012-06-11 · 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{HGGSABITB7VRKKLQCKAQOM2ENG}

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	2026-05-18T03:16:06.490709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

398d2005130feb152970128107334469b941d977cade008d66ba19cb55422aa8

Aliases

arxiv: 1206.2280 · arxiv_version: 1206.2280v2 · doi: 10.48550/arxiv.1206.2280 · pith_short_12: HGGSABITB7VR · pith_short_16: HGGSABITB7VRKKLQ · pith_short_8: HGGSABIT

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/HGGSABITB7VRKKLQCKAQOM2ENG \
  | 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: 398d2005130feb152970128107334469b941d977cade008d66ba19cb55422aa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b139f05ec7bba3136d029346818071e406d8432097170019be5ea473e50e11eb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-06-11T16:40:27Z",
    "title_canon_sha256": "5efcc5225328f80f00561b0eca2f4502bb2b68f0527cdd3809867c51b05647ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2280",
    "kind": "arxiv",
    "version": 2
  }
}