Pith Number

pith:TZXMOEY3

pith:2008:TZXMOEY3MOZBKX4EYVVBEOMEQD

not attested not anchored not stored refs pending

Homological interpretation of extensions and biextensions of 1-motives

Cristiana Bertolin

arxiv:0808.3267 v4 · 2008-08-24 · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZXMOEY3MOZBKX4EYVVBEOMEQD}

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	2026-05-18T03:53:52.757476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e6ec7131b63b2155f84c56a12398480cee75a8987625610a654e2a87041386d

Aliases

arxiv: 0808.3267 · arxiv_version: 0808.3267v4 · doi: 10.48550/arxiv.0808.3267 · pith_short_12: TZXMOEY3MOZB · pith_short_16: TZXMOEY3MOZBKX4E · pith_short_8: TZXMOEY3

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/TZXMOEY3MOZBKX4EYVVBEOMEQD \
  | 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: 9e6ec7131b63b2155f84c56a12398480cee75a8987625610a654e2a87041386d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7c7a6a6eff9eea85e854fe13d26086e1b585efc618ae02abb384e82af74e26c",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-08-24T18:53:16Z",
    "title_canon_sha256": "946f9550c2f15808589272b1f7ea8af60ff5a092b0c3de3b977fbfac1442328c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.3267",
    "kind": "arxiv",
    "version": 4
  }
}