Pith Number

pith:U32K3EOY

pith:2018:U32K3EOYHG3AKZFQGQI6ZPY5G3

not attested not anchored not stored refs pending

Cohomology of GKM-sheaves

Ibrahem Al-Jabea, Thomas John Baird

arxiv:1806.01761 v2 · 2018-06-05 · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U32K3EOYHG3AKZFQGQI6ZPY5G3}

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	2026-05-18T00:13:57.229650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6f4ad91d839b60564b03411ecbf1d36c3574eef0de3422548782b3eab2103e0

Aliases

arxiv: 1806.01761 · arxiv_version: 1806.01761v2 · doi: 10.48550/arxiv.1806.01761 · pith_short_12: U32K3EOYHG3A · pith_short_16: U32K3EOYHG3AKZFQ · pith_short_8: U32K3EOY

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/U32K3EOYHG3AKZFQGQI6ZPY5G3 \
  | 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: a6f4ad91d839b60564b03411ecbf1d36c3574eef0de3422548782b3eab2103e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a6c4c16f5502d29ecf15ff9710ca45c372a8e3475ebc3fcb3acae239d112ae8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-06-05T15:57:20Z",
    "title_canon_sha256": "ce71126b17fe157642e30ae992fed15ce414c60dabbe8c00ccdacbb93b99e61e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.01761",
    "kind": "arxiv",
    "version": 2
  }
}