Pith Number

pith:6L7R6AX2

pith:2024:6L7R6AX2INMZXTNR4TWV7NSNVH

not attested not anchored not stored refs pending

The calculus of Duistermaat's triple index

Graham Cox, Gregory Berkolaiko, Selim Sukhtaiev, Yuri Latushkin

arxiv:2412.20825 v3 · 2024-12-30 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6L7R6AX2INMZXTNR4TWV7NSNVH}

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	2026-05-25T02:02:06.263218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2ff1f02fa43599bcdb1e4ed5fb64da9c373788d812c4aee660536b9add7c198

Aliases

arxiv: 2412.20825 · arxiv_version: 2412.20825v3 · doi: 10.48550/arxiv.2412.20825 · pith_short_12: 6L7R6AX2INMZ · pith_short_16: 6L7R6AX2INMZXTNR · pith_short_8: 6L7R6AX2

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/6L7R6AX2INMZXTNR4TWV7NSNVH \
  | 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: f2ff1f02fa43599bcdb1e4ed5fb64da9c373788d812c4aee660536b9add7c198

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3db5956af9a1daf2f6c429fa7dfea5cfd5a2ba17e39f91d6921d92a7ca6c418d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2024-12-30T09:37:13Z",
    "title_canon_sha256": "d7e042c617e544cfdde1334ef8204008a2a65a036a5a4fdd06af7f7074434484"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.20825",
    "kind": "arxiv",
    "version": 3
  }
}