Pith Number

pith:KO54YL75

pith:2010:KO54YL754JOWJWL3CYSVUL2OUY

not attested not anchored not stored refs pending

B-Bounded cohomology and applications

B. Ramsey, C. Ogle, R. Ji

arxiv:1004.4677 v7 · 2010-04-26 · math.KT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KO54YL754JOWJWL3CYSVUL2OUY}

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	2026-05-18T03:19:01.892809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53bbcc2ffde25d64d97b16255a2f4ea625c38b52570d9b2caed5d4fadba2012b

Aliases

arxiv: 1004.4677 · arxiv_version: 1004.4677v7 · doi: 10.48550/arxiv.1004.4677 · pith_short_12: KO54YL754JOW · pith_short_16: KO54YL754JOWJWL3 · pith_short_8: KO54YL75

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/KO54YL754JOWJWL3CYSVUL2OUY \
  | 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: 53bbcc2ffde25d64d97b16255a2f4ea625c38b52570d9b2caed5d4fadba2012b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fe665ca285265868a0c8c9e04cdae6b0ba67b368d69c5226b11e103026f4fe2",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2010-04-26T23:41:21Z",
    "title_canon_sha256": "705ff3af9810536f391dd356c308b7063a70b9d2c06fd3f6dbfe956c45be43e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4677",
    "kind": "arxiv",
    "version": 7
  }
}