Pith Number

pith:FDDPSQTS

pith:2012:FDDPSQTSCN4TIJOEQRZLL7C5B3

not attested not anchored not stored refs pending

On the coniveau of certain sub-Hodge structures

Lie Fu

arxiv:1204.2165 v2 · 2012-04-10 · 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{FDDPSQTSCN4TIJOEQRZLL7C5B3}

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	2026-05-18T03:08:16.074199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28c6f9427213793425c48472b5fc5d0eec926b17558a9eeb7506a6fd04ddcf3d

Aliases

arxiv: 1204.2165 · arxiv_version: 1204.2165v2 · doi: 10.48550/arxiv.1204.2165 · pith_short_12: FDDPSQTSCN4T · pith_short_16: FDDPSQTSCN4TIJOE · pith_short_8: FDDPSQTS

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/FDDPSQTSCN4TIJOEQRZLL7C5B3 \
  | 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: 28c6f9427213793425c48472b5fc5d0eec926b17558a9eeb7506a6fd04ddcf3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37c849bbcdc2dfb54332f154af11b73b26b5909c064f65d185075e35f0a3ae28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-04-10T14:30:06Z",
    "title_canon_sha256": "90364f3bea93797a20bb418fd04fb9a80fd638a9523e3700660ebef1490ca192"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2165",
    "kind": "arxiv",
    "version": 2
  }
}