Pith Number

pith:QSDKHPUW

pith:2007:QSDKHPUWPOWEILPOC47BQBH3KV

not attested not anchored not stored refs pending

Coarse topology, enlargeability, and essentialness

B. Hanke, D. Kotschick, J. Roe, T. Schick

arxiv:0707.1999 v2 · 2007-07-13 · math.AT · math.DG · math.GT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QSDKHPUWPOWEILPOC47BQBH3KV}

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	2026-05-17T23:59:54.241214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8486a3be967bac442dee173e1804fb5562f938513510fc2a67ec0edd00eaa95f

Aliases

arxiv: 0707.1999 · arxiv_version: 0707.1999v2 · doi: 10.48550/arxiv.0707.1999 · pith_short_12: QSDKHPUWPOWE · pith_short_16: QSDKHPUWPOWEILPO · pith_short_8: QSDKHPUW

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/QSDKHPUWPOWEILPOC47BQBH3KV \
  | 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: 8486a3be967bac442dee173e1804fb5562f938513510fc2a67ec0edd00eaa95f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57c665b4eed4faa71feafeee2e5749a287c3388f325a0ce2be803c7508351cc2",
    "cross_cats_sorted": [
      "math.DG",
      "math.GT",
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2007-07-13T17:07:47Z",
    "title_canon_sha256": "890d1f42cbe24ff47f8df02e7a52eabbe5f8cb9beb17e69b3008ef26d33dff07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.1999",
    "kind": "arxiv",
    "version": 2
  }
}