Pith Number

pith:U7F4XMFY

pith:2012:U7F4XMFYJWWVQGO4ITNGXKM2E6

not attested not anchored not stored refs pending

Topological characterization of canonical Thurston obstructions

Nikita Selinger

arxiv:1202.1556 v2 · 2012-02-07 · 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{U7F4XMFYJWWVQGO4ITNGXKM2E6}

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	2026-05-18T03:33:14.245860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7cbcbb0b84dad5819dc44da6ba99a279abf10696d396f56f0983932c5ef2a70

Aliases

arxiv: 1202.1556 · arxiv_version: 1202.1556v2 · doi: 10.48550/arxiv.1202.1556 · pith_short_12: U7F4XMFYJWWV · pith_short_16: U7F4XMFYJWWVQGO4 · pith_short_8: U7F4XMFY

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/U7F4XMFYJWWVQGO4ITNGXKM2E6 \
  | 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: a7cbcbb0b84dad5819dc44da6ba99a279abf10696d396f56f0983932c5ef2a70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60e39d91b74682d099e54a5e357dedef85f18984e3fe30913e71ca2a08c0b8bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-02-07T23:09:11Z",
    "title_canon_sha256": "b574353bf02c3adb0c5c7bea42fa455f9395d2c26e101527c300fb61b511f3d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1556",
    "kind": "arxiv",
    "version": 2
  }
}