Pith Number

pith:A4NPKAH5

pith:2009:A4NPKAH5W6TF2SYTUNUDP4CICZ

not attested not anchored not stored refs pending

On the homology of locally compact spaces with ends

Philipp Spr\"ussel, Reinhard Diestel

arxiv:0910.5650 v3 · 2009-10-29 · math.AT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A4NPKAH5W6TF2SYTUNUDP4CICZ}

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	2026-05-18T04:21:21.574168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

071af500fdb7a65d4b13a36837f048167f3821d5f67e73ca8967a4bd34a58674

Aliases

arxiv: 0910.5650 · arxiv_version: 0910.5650v3 · doi: 10.48550/arxiv.0910.5650 · pith_short_12: A4NPKAH5W6TF · pith_short_16: A4NPKAH5W6TF2SYT · pith_short_8: A4NPKAH5

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/A4NPKAH5W6TF2SYTUNUDP4CICZ \
  | 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: 071af500fdb7a65d4b13a36837f048167f3821d5f67e73ca8967a4bd34a58674

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "276b54e33f08bb42f2d74dbbb0aa060372066abde5fd53a597c3ce104d64915e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-10-29T14:30:12Z",
    "title_canon_sha256": "b2bf75e62d18f3a255ff9112e58b09c3402ad8d554d55cb6a464baa7d8b220b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.5650",
    "kind": "arxiv",
    "version": 3
  }
}