Pith Number

pith:PSDFN2QG

pith:2011:PSDFN2QGHMUCRTMLTNMCPGHTMS

not attested not anchored not stored refs pending

Generic vanishing theory via mixed Hodge modules

Christian Schnell, Mihnea Popa

arxiv:1112.3058 v2 · 2011-12-13 · 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{PSDFN2QGHMUCRTMLTNMCPGHTMS}

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	2026-05-18T04:04:16.630639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c8656ea063b2828cd8b9b582798f36495cbfe3ef0428475340fb21f58922c17

Aliases

arxiv: 1112.3058 · arxiv_version: 1112.3058v2 · doi: 10.48550/arxiv.1112.3058 · pith_short_12: PSDFN2QGHMUC · pith_short_16: PSDFN2QGHMUCRTML · pith_short_8: PSDFN2QG

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/PSDFN2QGHMUCRTMLTNMCPGHTMS \
  | 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: 7c8656ea063b2828cd8b9b582798f36495cbfe3ef0428475340fb21f58922c17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ae260765bfe623602881220f56470bd130ef394bf9cf817745c78702863c77a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-12-13T22:12:31Z",
    "title_canon_sha256": "79b0ea350a147e341d9ed10ea0c36063eff0405e9c57dcac83e4dd95e144574a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3058",
    "kind": "arxiv",
    "version": 2
  }
}