Pith Number

pith:APIQ3VK2

pith:2010:APIQ3VK2JHRGL26NG7OW5ES7YT

not attested not anchored not stored refs pending

Graph hypersurfaces and a dichotomy in the Grothendieck ring

Matilde Marcolli (Caltech), Paolo Aluffi (FSU)

arxiv:1005.4470 v1 · 2010-05-25 · math.AG · hep-th · math-ph · math.MP · 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{APIQ3VK2JHRGL26NG7OW5ES7YT}

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	2026-05-18T04:27:45.357654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03d10dd55a49e265ebcd37dd6e925fc4fe728a235adba34e3a408d6ff227ef0c

Aliases

arxiv: 1005.4470 · arxiv_version: 1005.4470v1 · doi: 10.48550/arxiv.1005.4470 · pith_short_12: APIQ3VK2JHRG · pith_short_16: APIQ3VK2JHRGL26N · pith_short_8: APIQ3VK2

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/APIQ3VK2JHRGL26NG7OW5ES7YT \
  | 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: 03d10dd55a49e265ebcd37dd6e925fc4fe728a235adba34e3a408d6ff227ef0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb5875b6a271d38ffcee65d46103818bc1f83ffde462e2393a8ea5ba6193e143",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-05-25T02:34:51Z",
    "title_canon_sha256": "445c81329aae9eeb87ff86c7eb3b55fcb321815e9fd9fd15e58504c804c8e8e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4470",
    "kind": "arxiv",
    "version": 1
  }
}