Pith Number

pith:MP7O6VMY

pith:2013:MP7O6VMYZ7YMFUWMILZR4YW6IZ

not attested not anchored not stored refs pending

Proper triangular Ga-actions on A^4 are translations

Adrien Dubouloz (IMB), David Finston, Imad Jaradat

arxiv:1303.1032 v1 · 2013-03-05 · 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{MP7O6VMYZ7YMFUWMILZR4YW6IZ}

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	2026-05-18T01:22:25.629854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63feef5598cff0c2d2cc42f31e62de4648841839a12b3b12a4fff1d8acd82914

Aliases

arxiv: 1303.1032 · arxiv_version: 1303.1032v1 · doi: 10.48550/arxiv.1303.1032 · pith_short_12: MP7O6VMYZ7YM · pith_short_16: MP7O6VMYZ7YMFUWM · pith_short_8: MP7O6VMY

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/MP7O6VMYZ7YMFUWMILZR4YW6IZ \
  | 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: 63feef5598cff0c2d2cc42f31e62de4648841839a12b3b12a4fff1d8acd82914

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fbd75837c2d4b309ccb9fbf12962add4bf56147c42ce23bad2c4068cf76ce86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-03-05T13:42:15Z",
    "title_canon_sha256": "5b9539c85829997b3c9cfad27f3710379c0584ee9303a0db4e347b8b0325bfb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1032",
    "kind": "arxiv",
    "version": 1
  }
}