Pith Number

pith:DORAJYIE

pith:2011:DORAJYIE4XQN4GIV3RDCKVVH2Y

not attested not anchored not stored refs pending

Weights on cohomology, invariants of singularities, and dual complexes

Donu Arapura, Jaros{\l}aw W{\l}odarczyk, Parsa Bakhtary

arxiv:1102.4370 v4 · 2011-02-21 · 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{DORAJYIE4XQN4GIV3RDCKVVH2Y}

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	2026-05-18T03:35:38.856308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ba204e104e5e0de1915dc462556a7d601d05a536e200bbf8e4980657552c76e

Aliases

arxiv: 1102.4370 · arxiv_version: 1102.4370v4 · doi: 10.48550/arxiv.1102.4370 · pith_short_12: DORAJYIE4XQN · pith_short_16: DORAJYIE4XQN4GIV · pith_short_8: DORAJYIE

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/DORAJYIE4XQN4GIV3RDCKVVH2Y \
  | 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: 1ba204e104e5e0de1915dc462556a7d601d05a536e200bbf8e4980657552c76e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d38e1ec07cd7b9b12b03db3d74321c4ea40f89a97dc14e6f83105d2358890652",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-02-21T23:40:07Z",
    "title_canon_sha256": "4f0160747c6a811d02c099a54a640f1fbdca470a8a8a10b79b5b6df5fc35aed7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4370",
    "kind": "arxiv",
    "version": 4
  }
}