Pith Number

pith:GJGT36P2

pith:2016:GJGT36P2K7XQAZ3MY6CS427TNL

not attested not anchored not stored refs pending

Positivity for Hodge modules and geometric applications

Mihnea Popa

arxiv:1605.08093 v2 · 2016-05-25 · 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{GJGT36P2K7XQAZ3MY6CS427TNL}

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	2026-05-18T00:52:44.259126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

324d3df9fa57ef00676cc7852e6bf36ac565435562ae4bcb3bd2259d6c19f26c

Aliases

arxiv: 1605.08093 · arxiv_version: 1605.08093v2 · doi: 10.48550/arxiv.1605.08093 · pith_short_12: GJGT36P2K7XQ · pith_short_16: GJGT36P2K7XQAZ3M · pith_short_8: GJGT36P2

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/GJGT36P2K7XQAZ3MY6CS427TNL \
  | 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: 324d3df9fa57ef00676cc7852e6bf36ac565435562ae4bcb3bd2259d6c19f26c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c664dbe76fe8e2e71c84eeb1ea0cb4e9bbcce3d27daf220d77771b68862a8037",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-05-25T22:10:08Z",
    "title_canon_sha256": "6231e59c0ebf2b79ba9a1a1601def6859cd1f44706218e817a73992f365b19bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08093",
    "kind": "arxiv",
    "version": 2
  }
}