Pith Number

pith:C7CPEZ53

pith:2008:C7CPEZ53KMZ6DAS7K3QLAMUPK4

not attested not anchored not stored refs pending

Faces of the scl norm ball

Danny Calegari

arxiv:0807.0395 v3 · 2008-07-02 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C7CPEZ53KMZ6DAS7K3QLAMUPK4}

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	2026-05-18T02:38:19.103182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17c4f267bb5333e1825f56e0b0328f5739a90db177086d5ea9a5c4ad1d1221c6

Aliases

arxiv: 0807.0395 · arxiv_version: 0807.0395v3 · doi: 10.48550/arxiv.0807.0395 · pith_short_12: C7CPEZ53KMZ6 · pith_short_16: C7CPEZ53KMZ6DAS7 · pith_short_8: C7CPEZ53

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/C7CPEZ53KMZ6DAS7K3QLAMUPK4 \
  | 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: 17c4f267bb5333e1825f56e0b0328f5739a90db177086d5ea9a5c4ad1d1221c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "099f269597a095929d4750375471af26d55fc86c2a518782608a3363256ddeb1",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-07-02T16:42:39Z",
    "title_canon_sha256": "b13485d4f80dbcbd1403791960054ae57596d413ff1cfc7a943f9a65bb427be1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.0395",
    "kind": "arxiv",
    "version": 3
  }
}