Pith Number

pith:ILWHEEK6

pith:2015:ILWHEEK6T3DSWM4U3OKAEUS6JT

not attested not anchored not stored refs pending

Weak positivity for Hodge modules

Lei Wu, Mihnea Popa

arxiv:1511.00290 v2 · 2015-11-01 · 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{ILWHEEK6T3DSWM4U3OKAEUS6JT}

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	2026-05-18T01:19:44.073544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42ec72115e9ec72b3394db9402525e4cf9854a7a4cf1489f061ba1d06dff2963

Aliases

arxiv: 1511.00290 · arxiv_version: 1511.00290v2 · doi: 10.48550/arxiv.1511.00290 · pith_short_12: ILWHEEK6T3DS · pith_short_16: ILWHEEK6T3DSWM4U · pith_short_8: ILWHEEK6

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/ILWHEEK6T3DSWM4U3OKAEUS6JT \
  | 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: 42ec72115e9ec72b3394db9402525e4cf9854a7a4cf1489f061ba1d06dff2963

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "297df0df02875b5ab9f7f1357785eca4565353ccfdbe10e69a0d3d3cf5c99247",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-01T18:55:59Z",
    "title_canon_sha256": "1cd2e83c5e3492d935cd1a90583fdc56acc3c996b37b2a4618d2845920eed4d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00290",
    "kind": "arxiv",
    "version": 2
  }
}