Pith Number

pith:PPK36YRB

pith:2023:PPK36YRBJ4VQVYLTEWRPNMMZNP

not attested not anchored not stored refs pending

A note on the trace formula

Eran Assaf

arxiv:2311.03523 v3 · 2023-11-06 · 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{PPK36YRBJ4VQVYLTEWRPNMMZNP}

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	2026-07-05T07:59:56.629900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bd5bf62214f2b0ae17325a2f6b1996bec93037cc0bd029dc9170250731264d6

Aliases

arxiv: 2311.03523 · arxiv_version: 2311.03523v3 · doi: 10.48550/arxiv.2311.03523 · pith_short_12: PPK36YRBJ4VQ · pith_short_16: PPK36YRBJ4VQVYLT · pith_short_8: PPK36YRB

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/PPK36YRBJ4VQVYLTEWRPNMMZNP \
  | 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: 7bd5bf62214f2b0ae17325a2f6b1996bec93037cc0bd029dc9170250731264d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74fe9927a27ecbd9c5e9ed300e5c2c908df53e717601694a589ffb327e5b781f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-11-06T21:00:15Z",
    "title_canon_sha256": "8b91458a4bf78fe5ffad37bee9168ad7907c7db53bb956f81294c8171037c017"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.03523",
    "kind": "arxiv",
    "version": 3
  }
}