Pith Number

pith:MGNTD25P

pith:2011:MGNTD25PY2DU2GKVCUZTFFUGMW

not attested not anchored not stored refs pending

Stable Birational Equivalence and Geometric Chevalley-Warning

Xia Liao

arxiv:1110.2554 v1 · 2011-10-12 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MGNTD25PY2DU2GKVCUZTFFUGMW}

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	2026-05-18T00:32:36.777393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

619b31ebafc6874d1955153332968665a2df3bd81831404a67b272236cfa113a

Aliases

arxiv: 1110.2554 · arxiv_version: 1110.2554v1 · doi: 10.48550/arxiv.1110.2554 · pith_short_12: MGNTD25PY2DU · pith_short_16: MGNTD25PY2DU2GKV · pith_short_8: MGNTD25P

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/MGNTD25PY2DU2GKVCUZTFFUGMW \
  | 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: 619b31ebafc6874d1955153332968665a2df3bd81831404a67b272236cfa113a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ce5721688cc0280c05c84be4b1bcde7a766ff4209b17bf9d769f1319314f279",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-12T02:25:04Z",
    "title_canon_sha256": "234d1fc045441b78d43f68859bc19370603754ecc12b3d6474988d1c056cd47e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2554",
    "kind": "arxiv",
    "version": 1
  }
}