Pith Number

pith:BKBVGPIL

pith:2011:BKBVGPILZJNKOF3P5QWAM7AZJY

not attested not anchored not stored refs pending

Clemens-Schmid exact sequence in characteristic p

Bruno Chiarellotto, Nobuo Tsuzuki

arxiv:1111.0779 v3 · 2011-11-03 · 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{BKBVGPILZJNKOF3P5QWAM7AZJY}

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	2026-05-18T03:39:51.756444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a83533d0bca5aa7176fec2c067c194e2f89f073edb9f71ab37b3fa7a30946c3

Aliases

arxiv: 1111.0779 · arxiv_version: 1111.0779v3 · doi: 10.48550/arxiv.1111.0779 · pith_short_12: BKBVGPILZJNK · pith_short_16: BKBVGPILZJNKOF3P · pith_short_8: BKBVGPIL

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/BKBVGPILZJNKOF3P5QWAM7AZJY \
  | 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: 0a83533d0bca5aa7176fec2c067c194e2f89f073edb9f71ab37b3fa7a30946c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0289d0f9f167bb8e831a0e030f475c49aaac4e9528bf25f0a3ab051584675e1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-11-03T10:38:19Z",
    "title_canon_sha256": "c6f2b26e6cafe5ce368f608b12c0f9da7150b0252296959831ba39838eab0997"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0779",
    "kind": "arxiv",
    "version": 3
  }
}