Pith Number

pith:BX5N3BEP

pith:2013:BX5N3BEPJKIQ6YSCYOHMTGEXV2

not attested not anchored not stored refs pending

Ferrand's pushouts for algebraic spaces

Ilya Tyomkin, Michael Temkin

arxiv:1305.6014 v3 · 2013-05-26 · 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{BX5N3BEPJKIQ6YSCYOHMTGEXV2}

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	2026-05-18T01:13:31.314150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dfadd848f4a910f6242c38ec99897aeb907da0f82234de7455c54f19287fdc5

Aliases

arxiv: 1305.6014 · arxiv_version: 1305.6014v3 · doi: 10.48550/arxiv.1305.6014 · pith_short_12: BX5N3BEPJKIQ · pith_short_16: BX5N3BEPJKIQ6YSC · pith_short_8: BX5N3BEP

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/BX5N3BEPJKIQ6YSCYOHMTGEXV2 \
  | 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: 0dfadd848f4a910f6242c38ec99897aeb907da0f82234de7455c54f19287fdc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1240e64901c4ff6e8f6bf0bda1f74401f1ebf5d1efb49ada815bd393945b2f90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-05-26T10:57:41Z",
    "title_canon_sha256": "9735965c23e20723ba4b2b3a4cc985815f1ff2a79606a5bc2540df73ee59491a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6014",
    "kind": "arxiv",
    "version": 3
  }
}