Pith Number

pith:C7M2TRSX

pith:2016:C7M2TRSXR5VAVSKAY3XYKV2M47

not attested not anchored not stored refs pending

Algebraic fiber spaces over abelian varieties: around a recent theorem by Cao and Paun

Christian Schnell, Christopher Hacon, Mihnea Popa

arxiv:1611.08768 v2 · 2016-11-27 · 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{C7M2TRSXR5VAVSKAY3XYKV2M47}

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	2026-05-18T00:44:45.808943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17d9a9c6578f6a0ac940c6ef85574ce7ee526b78648df76c78e53e2fc8b1073a

Aliases

arxiv: 1611.08768 · arxiv_version: 1611.08768v2 · doi: 10.48550/arxiv.1611.08768 · pith_short_12: C7M2TRSXR5VA · pith_short_16: C7M2TRSXR5VAVSKA · pith_short_8: C7M2TRSX

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/C7M2TRSXR5VAVSKAY3XYKV2M47 \
  | 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: 17d9a9c6578f6a0ac940c6ef85574ce7ee526b78648df76c78e53e2fc8b1073a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36ae1dbf85bbc16b0e3b8db175ad84c1f46667d807aa0d014d24e518cd6ee538",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-11-27T00:35:13Z",
    "title_canon_sha256": "0747203dc272ac9268d2a49c5655d62a7e6de88897dcacf58fae7d0a8afa47cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08768",
    "kind": "arxiv",
    "version": 2
  }
}