Pith Number

pith:V2Q47EVO

pith:2009:V2Q47EVOMTCEC7UYR4AHG5NUXP

not attested not anchored not stored refs pending

Ga-actions of fiber type on affine T-varieties

Alvaro Liendo (IF)

arxiv:0911.1110 v1 · 2009-11-05 · 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{V2Q47EVOMTCEC7UYR4AHG5NUXP}

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	2026-05-18T04:30:02.926146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aea1cf92ae64c4417e988f007375b4bbf6d13045166675b8cee675d55df3bebd

Aliases

arxiv: 0911.1110 · arxiv_version: 0911.1110v1 · doi: 10.48550/arxiv.0911.1110 · pith_short_12: V2Q47EVOMTCE · pith_short_16: V2Q47EVOMTCEC7UY · pith_short_8: V2Q47EVO

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/V2Q47EVOMTCEC7UYR4AHG5NUXP \
  | 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: aea1cf92ae64c4417e988f007375b4bbf6d13045166675b8cee675d55df3bebd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bb17423772167edf9ef27430e06595d35d9e0b8901e5954c25e27eeee47c55a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-11-05T19:24:55Z",
    "title_canon_sha256": "c17a6afbde76e91004581886daea1d8387c38485be1279f7d3aff5eed680a9ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1110",
    "kind": "arxiv",
    "version": 1
  }
}