Pith Number

pith:PHUFMTFN

pith:2016:PHUFMTFNTW2V7FHURZXKWGW2DB

not attested not anchored not stored refs pending

Gerstenhaber-Schack Cohomology for Hom-bialgebras and Deformations

Abdenacer Makhlouf, Khadra Dekkar

arxiv:1608.02084 v1 · 2016-08-06 · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PHUFMTFNTW2V7FHURZXKWGW2DB}

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	2026-05-18T01:09:41.012474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79e8564cad9db55f94f48e6eab1ada18781aef76bbacb3e9637b00530384b500

Aliases

arxiv: 1608.02084 · arxiv_version: 1608.02084v1 · doi: 10.48550/arxiv.1608.02084 · pith_short_12: PHUFMTFNTW2V · pith_short_16: PHUFMTFNTW2V7FHU · pith_short_8: PHUFMTFN

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/PHUFMTFNTW2V7FHURZXKWGW2DB \
  | 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: 79e8564cad9db55f94f48e6eab1ada18781aef76bbacb3e9637b00530384b500

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d3dc5d01cefc3516a2b16a23fa5a72f83bd38da12fe13d0d91e3bbe1951bed2",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-08-06T09:10:52Z",
    "title_canon_sha256": "749c8782078d2aa4986bef9aaeccc9a6d70fc45ef5505851de7237016e1efa78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02084",
    "kind": "arxiv",
    "version": 1
  }
}