Pith Number

pith:BS4QYPMV

pith:2003:BS4QYPMVT6ON2LC5XYKW6NKLV5

not attested not anchored not stored refs pending

The compression theorem III: applications

Brian Sanderson, Colin Rourke

arxiv:math/0301356 v2 · 2003-01-30 · 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{BS4QYPMVT6ON2LC5XYKW6NKLV5}

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	2026-05-18T02:41:32.765310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cb90c3d959f9cdd2c5dbe156f354baf73fac2cb447aa29ded62bf396a6ce09b

Aliases

arxiv: math/0301356 · arxiv_version: math/0301356v2 · doi: 10.48550/arxiv.math/0301356 · pith_short_12: BS4QYPMVT6ON · pith_short_16: BS4QYPMVT6ON2LC5 · pith_short_8: BS4QYPMV

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/BS4QYPMVT6ON2LC5XYKW6NKLV5 \
  | 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: 0cb90c3d959f9cdd2c5dbe156f354baf73fac2cb447aa29ded62bf396a6ce09b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f0ce1ee442e885872da44310188b30fefe781be30af0f6f1faf6aa431b9f040",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2003-01-30T15:35:59Z",
    "title_canon_sha256": "82ba0b05049ecf7d89c9be4205d131b57211bf631e4b2f4b56f12967b5ece200"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0301356",
    "kind": "arxiv",
    "version": 2
  }
}