Pith Number

pith:ONOBLFNT

pith:2026:ONOBLFNTKWBXJ3HCSI5GQOK3NA

not attested not anchored not stored refs pending

A Theorem of Wolpert, and some Variations

Juan Souto, Ludovico Battista, Nolwenn Le Quellec

arxiv:2607.12977 v1 · 2026-07-14 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ONOBLFNTKWBXJ3HCSI5GQOK3NA}

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	2026-07-15T01:22:28.668322Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

735c1595b3558374ece2923a68395b68282dfd10f6f461c417113b90304d82b8

Aliases

arxiv: 2607.12977 · arxiv_version: 2607.12977v1 · doi: 10.48550/arxiv.2607.12977 · pith_short_12: ONOBLFNTKWBX · pith_short_16: ONOBLFNTKWBXJ3HC · pith_short_8: ONOBLFNT

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/ONOBLFNTKWBXJ3HCSI5GQOK3NA \
  | 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: 735c1595b3558374ece2923a68395b68282dfd10f6f461c417113b90304d82b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f57a4f0979dac4081b0b19a215b4108c131d196ddd04003d444a2d057245c852",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-07-14T17:21:10Z",
    "title_canon_sha256": "5aed87644729cd3df28c1b54fa23c6d6b0efe4cc9407d8c8fb4adaf5599282f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12977",
    "kind": "arxiv",
    "version": 1
  }
}