Pith Number

pith:7BFNPADF

pith:2007:7BFNPADFTALTHRHVI3YQERD2FL

not attested not anchored not stored refs pending

A new twist on Lorenz links

Ilya Kofman, Joan Birman

arxiv:0707.4331 v4 · 2007-07-30 · math.GT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7BFNPADFTALTHRHVI3YQERD2FL}

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	2026-05-18T02:58:12.505455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f84ad78065981733c4f546f102447a2aeda79109e33719068ad3f4305d0c668e

Aliases

arxiv: 0707.4331 · arxiv_version: 0707.4331v4 · doi: 10.48550/arxiv.0707.4331 · pith_short_12: 7BFNPADFTALT · pith_short_16: 7BFNPADFTALTHRHV · pith_short_8: 7BFNPADF

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/7BFNPADFTALTHRHVI3YQERD2FL \
  | 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: f84ad78065981733c4f546f102447a2aeda79109e33719068ad3f4305d0c668e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02492a024df114ad37315a9102eefd4c0348fff46bba415bd5e211ffbcb1a28d",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2007-07-30T02:45:49Z",
    "title_canon_sha256": "2953e0475c3bb4d99322b672c982460c8001a8c675a61bc71c3be01ba6cceca7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.4331",
    "kind": "arxiv",
    "version": 4
  }
}