Pith Number

pith:GDHFFRIK

pith:2023:GDHFFRIKDS73ZJ7KW2IUEHJW5C

not attested not anchored not stored refs pending

Arithmetic modular links

Jessica S. Purcell, Jos\'e Andr\'es Rodr\'iguez Migueles, Tali Pinsky

arxiv:2307.09409 v3 · 2023-07-18 · math.GT · 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{GDHFFRIKDS73ZJ7KW2IUEHJW5C}

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	2026-07-05T07:55:13.040643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30ce52c50a1cbfbca7eab691421d36e8871db42388daa37ad04364f4f135606e

Aliases

arxiv: 2307.09409 · arxiv_version: 2307.09409v3 · doi: 10.48550/arxiv.2307.09409 · pith_short_12: GDHFFRIKDS73 · pith_short_16: GDHFFRIKDS73ZJ7K · pith_short_8: GDHFFRIK

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/GDHFFRIKDS73ZJ7KW2IUEHJW5C \
  | 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: 30ce52c50a1cbfbca7eab691421d36e8871db42388daa37ad04364f4f135606e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "325147dcb1f9a114b8391b92813b22a2e3766353b1ae80832edf17acf4fe6b5b",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-07-18T16:28:21Z",
    "title_canon_sha256": "d4a6bd84dd1b8dd0b028f36631a11c836b610a0b3938be06ebae5f1b10115295"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.09409",
    "kind": "arxiv",
    "version": 3
  }
}