Pith Number

pith:WY7FY3GR

pith:2017:WY7FY3GRZUPXOQHDNVDEO76YKB

not attested not anchored not stored refs pending

Appoximate Cohomology

David Kazhdan, Tamar Ziegler

arxiv:1702.01308 v2 · 2017-02-04 · math.GR · math.CO · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WY7FY3GRZUPXOQHDNVDEO76YKB}

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	2026-05-18T00:44:35.109230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b63e5c6cd1cd1f7740e36d46477fd8507d2a0ab7b8436504c13aece56cd3d6e3

Aliases

arxiv: 1702.01308 · arxiv_version: 1702.01308v2 · doi: 10.48550/arxiv.1702.01308 · pith_short_12: WY7FY3GRZUPX · pith_short_16: WY7FY3GRZUPXOQHD · pith_short_8: WY7FY3GR

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/WY7FY3GRZUPXOQHDNVDEO76YKB \
  | 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: b63e5c6cd1cd1f7740e36d46477fd8507d2a0ab7b8436504c13aece56cd3d6e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a783e5cf52c85b369649365bc594983700dbe22ff83a85b8454536ba0cac6f81",
    "cross_cats_sorted": [
      "math.CO",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-02-04T17:19:13Z",
    "title_canon_sha256": "3c8a63d45b1a9bdf91d48a0650f3a99d65086401ad6df94ce88d3a276d0fb4c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.01308",
    "kind": "arxiv",
    "version": 2
  }
}