Pith Number

pith:OR2AZPN5

pith:2026:OR2AZPN5FVP72YH7D3XFGXOQ2Z

not attested not anchored not stored refs pending

Graphs from quadratic forms and vector spaces over finite fields

Jean Godard, Lucas Reis

arxiv:2605.21866 v1 · 2026-05-21 · math.CO · cs.DM · 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{OR2AZPN5FVP72YH7D3XFGXOQ2Z}

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	2026-05-22T01:04:12.100479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74740cbdbd2d5ffd60ff1eee535dd0d64fdd582dc8b1e124cd26af8c617303b4

Aliases

arxiv: 2605.21866 · arxiv_version: 2605.21866v1 · doi: 10.48550/arxiv.2605.21866 · pith_short_12: OR2AZPN5FVP7 · pith_short_16: OR2AZPN5FVP72YH7 · pith_short_8: OR2AZPN5

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/OR2AZPN5FVP72YH7D3XFGXOQ2Z \
  | 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: 74740cbdbd2d5ffd60ff1eee535dd0d64fdd582dc8b1e124cd26af8c617303b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9819557d8ecab651a4425c2cb9509c97cb5df1e2095e6c097e554ba4b79a4e17",
    "cross_cats_sorted": [
      "cs.DM",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-21T01:22:14Z",
    "title_canon_sha256": "628dee5e4d2c1d0aac3e251d29079203034d8091352f8ef77308cbc1b217f1e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21866",
    "kind": "arxiv",
    "version": 1
  }
}