Pith Number

pith:FPPGS6QH

pith:2014:FPPGS6QHHR37JZNUNUVALUCFIZ

not attested not anchored not stored refs pending

On the coincidence of zeroth Milnor-Thurston homology with singular homology

Andreas Zastrow, Janusz Przewocki

arxiv:1403.3341 v2 · 2014-03-13 · 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{FPPGS6QHHR37JZNUNUVALUCFIZ}

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	2026-05-18T02:45:12.490667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bde697a073c77f4e5b46d2a05d045467c2218711bb938532799e0df94d6ade5

Aliases

arxiv: 1403.3341 · arxiv_version: 1403.3341v2 · doi: 10.48550/arxiv.1403.3341 · pith_short_12: FPPGS6QHHR37 · pith_short_16: FPPGS6QHHR37JZNU · pith_short_8: FPPGS6QH

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/FPPGS6QHHR37JZNUNUVALUCFIZ \
  | 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: 2bde697a073c77f4e5b46d2a05d045467c2218711bb938532799e0df94d6ade5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d4499cd0fd3c3af8b922aa43e5e0194137b8b65e0ca534399ca7de52324d01c",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-03-13T17:47:40Z",
    "title_canon_sha256": "56c6f4e404fd8309a9d3d206d9dc1724e77365f1d4d9e7f25f944ada41acf7f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3341",
    "kind": "arxiv",
    "version": 2
  }
}