Pith Number

pith:RAOK333R

pith:2000:RAOK333RRTIDZA5Y2HI6J5MMQS

not attested not anchored not stored refs pending

The compression theorem II: directed embeddings

Brian Sanderson, Colin Rourke

arxiv:math/0003026 v5 · 2000-03-03 · 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{RAOK333RRTIDZA5Y2HI6J5MMQS}

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	2026-05-18T02:38:01.032423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

881cadef718cd03c83b8d1d1e4f58c84a66f922bd987666e051fd32c93e67916

Aliases

arxiv: math/0003026 · arxiv_version: math/0003026v5 · doi: 10.48550/arxiv.math/0003026 · pith_short_12: RAOK333RRTID · pith_short_16: RAOK333RRTIDZA5Y · pith_short_8: RAOK333R

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/RAOK333RRTIDZA5Y2HI6J5MMQS \
  | 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: 881cadef718cd03c83b8d1d1e4f58c84a66f922bd987666e051fd32c93e67916

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d5a6e2fcd9e25832fe8fff08b6edd5f71bf493a04206c153bc4401a117a00ff",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2000-03-03T20:06:14Z",
    "title_canon_sha256": "1cfc964119db49189ec78c37d448b1bbe5f150557f93f8ef2c53fde0d4e59e75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0003026",
    "kind": "arxiv",
    "version": 5
  }
}