Pith Number

pith:TO64EC2E

pith:2010:TO64EC2EOW22WNCPZUSSIJNFTZ

not attested not anchored not stored refs pending

Ellipses in translation surfaces

Chris Judge, S. Allen Broughton

arxiv:1003.1672 v2 · 2010-03-08 · math.GT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TO64EC2EOW22WNCPZUSSIJNFTZ}

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	2026-05-18T04:32:43.580250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bbdc20b4475b5ab344fcd252425a59e5617fd950333ab21b1e3b2366e73eccd

Aliases

arxiv: 1003.1672 · arxiv_version: 1003.1672v2 · doi: 10.48550/arxiv.1003.1672 · pith_short_12: TO64EC2EOW22 · pith_short_16: TO64EC2EOW22WNCP · pith_short_8: TO64EC2E

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/TO64EC2EOW22WNCPZUSSIJNFTZ \
  | 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: 9bbdc20b4475b5ab344fcd252425a59e5617fd950333ab21b1e3b2366e73eccd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd8c5590a8238138d590820084d71f3bed3183295a267abe6928826a2d4bf72e",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-03-08T16:55:39Z",
    "title_canon_sha256": "c8970b7f688182ccdc9d7f294ee4cb67dd6f419ed5e6f5d6bd82e0979c3df933"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.1672",
    "kind": "arxiv",
    "version": 2
  }
}