Pith Number

pith:4PH7BO4M

pith:2026:4PH7BO4MLDBVDI7CPRE2SXK4US

not attested not anchored not stored refs pending

Weddle schemes

Brian Harbourne, Giuseppe Favacchio, Juan Migliore, Justyna Szpond, Luca Chiantini, {\L}ucja Farnik, Tomasz Szemberg

arxiv:2606.25060 v1 · 2026-06-23 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4PH7BO4MLDBVDI7CPRE2SXK4US}

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	2026-06-25T00:18:16.671091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3cff0bb8c58c351a3e27c49a95d5ca4bd173a1f54086ad6e30c57c2c2822be4

Aliases

arxiv: 2606.25060 · arxiv_version: 2606.25060v1 · doi: 10.48550/arxiv.2606.25060 · pith_short_12: 4PH7BO4MLDBV · pith_short_16: 4PH7BO4MLDBVDI7C · pith_short_8: 4PH7BO4M

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/4PH7BO4MLDBVDI7CPRE2SXK4US \
  | 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: e3cff0bb8c58c351a3e27c49a95d5ca4bd173a1f54086ad6e30c57c2c2822be4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39d6860427dac82a925f59808ec8097b57df2074eb7601be3151e62dd2b64e42",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-23T18:13:07Z",
    "title_canon_sha256": "8f7e81c5d100f60639ab36b161b232fe8b763859942d498277b92e2b81c7ffea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25060",
    "kind": "arxiv",
    "version": 1
  }
}