Pith Number

pith:4CCIAZTX

pith:2015:4CCIAZTXX3OU3HLYIUN37ZBHKQ

not attested not anchored not stored refs pending

Homotopy classification of $PD_4$-complexes relative an order relation

Du\v{s}an Repov\v{s}, Friedrich Hegenbarth, Mehmetcik Pamuk

arxiv:1501.00551 v1 · 2015-01-03 · math.GT · 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{4CCIAZTXX3OU3HLYIUN37ZBHKQ}

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	2026-05-18T02:09:41.404286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e084806677bedd4d9d78451bbfe427540f0902b3af235ae55951d9dc6a1e850b

Aliases

arxiv: 1501.00551 · arxiv_version: 1501.00551v1 · doi: 10.48550/arxiv.1501.00551 · pith_short_12: 4CCIAZTXX3OU · pith_short_16: 4CCIAZTXX3OU3HLY · pith_short_8: 4CCIAZTX

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/4CCIAZTXX3OU3HLYIUN37ZBHKQ \
  | 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: e084806677bedd4d9d78451bbfe427540f0902b3af235ae55951d9dc6a1e850b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e85f33c47d8a3b7074d8b944c2fd1367453637c07fbfa320166bab81a6023cde",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-01-03T10:05:27Z",
    "title_canon_sha256": "083d704d0e09a546b24185982532c092e09ee3a61167afecd793cf853217c12f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00551",
    "kind": "arxiv",
    "version": 1
  }
}