Pith Number

pith:HIP6PTOY

pith:2002:HIP6PTOY2WTRJCEFPHXAKQ5OWY

not attested not anchored not stored refs pending

Embedding, compression and fiberwise homotopy theory

John R. Klein

arxiv:math/0205273 v1 · 2002-05-26 · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HIP6PTOY2WTRJCEFPHXAKQ5OWY}

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	2026-05-18T02:41:33.016457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a1fe7cdd8d5a714888579ee0543aeb60382841bdeaf68ebca5aabdbe4d81677

Aliases

arxiv: math/0205273 · arxiv_version: math/0205273v1 · doi: 10.48550/arxiv.math/0205273 · pith_short_12: HIP6PTOY2WTR · pith_short_16: HIP6PTOY2WTRJCEF · pith_short_8: HIP6PTOY

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/HIP6PTOY2WTRJCEFPHXAKQ5OWY \
  | 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: 3a1fe7cdd8d5a714888579ee0543aeb60382841bdeaf68ebca5aabdbe4d81677

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0b7081ad9b46c811bfd7224c7d7142bfbc552b3006d2ef944e1a5ea72f4f877",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2002-05-26T19:09:57Z",
    "title_canon_sha256": "8965beb9ac29ff06e6809235d7742fd8b809777144158b2d3b1074feb6244380"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0205273",
    "kind": "arxiv",
    "version": 1
  }
}