Pith Number

pith:F6EOCJO3

pith:2014:F6EOCJO33RD4MUYJDX7QFTJWQP

not attested not anchored not stored refs pending

Infinite root stacks and quasi-coherent sheaves on logarithmic schemes

Angelo Vistoli, Mattia Talpo

arxiv:1410.1164 v2 · 2014-10-05 · 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{F6EOCJO33RD4MUYJDX7QFTJWQP}

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	2026-05-18T00:24:20.731682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f88e125dbdc47c653091dff02cd3683e5252fb1fc58f9fa917b423f30f3b0fa

Aliases

arxiv: 1410.1164 · arxiv_version: 1410.1164v2 · doi: 10.48550/arxiv.1410.1164 · pith_short_12: F6EOCJO33RD4 · pith_short_16: F6EOCJO33RD4MUYJ · pith_short_8: F6EOCJO3

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/F6EOCJO33RD4MUYJDX7QFTJWQP \
  | 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: 2f88e125dbdc47c653091dff02cd3683e5252fb1fc58f9fa917b423f30f3b0fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0072683bfa2006320db0b4faab617c68d7a00ff3015067b9c8837e685cb97cc2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-10-05T14:45:36Z",
    "title_canon_sha256": "3ab30e5d6d7705b7a200084b53b919d8568f8645d0817813bfcd5355f368c693"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1164",
    "kind": "arxiv",
    "version": 2
  }
}