Pith Number

pith:U2NL3C5Y

pith:2012:U2NL3C5YY3KYPZJP2C34RQYMFQ

not attested not anchored not stored refs pending

Variations of mixed Hodge structure and semi-positivity theorems

Osamu Fujino, Taro Fujisawa

arxiv:1203.6697 v4 · 2012-03-30 · 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{U2NL3C5YY3KYPZJP2C34RQYMFQ}

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	2026-05-18T02:56:12.852807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a69abd8bb8c6d587e52fd0b7c8c30c2c1dcec50cf9412a501d95fce328e7cedb

Aliases

arxiv: 1203.6697 · arxiv_version: 1203.6697v4 · doi: 10.48550/arxiv.1203.6697 · pith_short_12: U2NL3C5YY3KY · pith_short_16: U2NL3C5YY3KYPZJP · pith_short_8: U2NL3C5Y

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/U2NL3C5YY3KYPZJP2C34RQYMFQ \
  | 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: a69abd8bb8c6d587e52fd0b7c8c30c2c1dcec50cf9412a501d95fce328e7cedb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "556b8803437dcf818ba9dea2fb917199fae932d44060815c11b9bd83d38d9001",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-30T01:38:48Z",
    "title_canon_sha256": "1bb8d7f2a45a74ed13ce3e9ba2f8743cd77e309153c2e655ad9b138944741255"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6697",
    "kind": "arxiv",
    "version": 4
  }
}