Pith Number

pith:SAAANC2L

pith:2022:SAAANC2LW2P7HLPVNGEXNHQKAP

not attested not anchored not stored refs pending

Perverse-Hodge complexes for Lagrangian fibrations

Junliang Shen, Qizheng Yin

arxiv:2201.11283 v2 · 2022-01-27 · 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{SAAANC2LW2P7HLPVNGEXNHQKAP}

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	2026-05-20T14:03:15.528127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9000068b4bb69ff3adf56989769e0a03c2b92cdbea9d760ccdec7111c213443a

Aliases

arxiv: 2201.11283 · arxiv_version: 2201.11283v2 · doi: 10.48550/arxiv.2201.11283 · pith_short_12: SAAANC2LW2P7 · pith_short_16: SAAANC2LW2P7HLPV · pith_short_8: SAAANC2L

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/SAAANC2LW2P7HLPVNGEXNHQKAP \
  | 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: 9000068b4bb69ff3adf56989769e0a03c2b92cdbea9d760ccdec7111c213443a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "703ea45c4742b472f91f9fc187e53661b3690ef622da09c1117e8e1dc84c480e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-01-27T02:34:01Z",
    "title_canon_sha256": "d2581d063b93e00c1646a5d6e0bef99b177d5396bf097061bffe2b26a64226ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.11283",
    "kind": "arxiv",
    "version": 2
  }
}