Pith Number

pith:6W7IJIVS

pith:2012:6W7IJIVSFHXG4D7NB5TUO5CGGZ

not attested not anchored not stored refs pending

Pullback invariants of Thurston maps

Kevin M. Pilgrim, Nikita Selinger, Sarah Koch

arxiv:1212.4568 v1 · 2012-12-19 · math.DS · 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{6W7IJIVSFHXG4D7NB5TUO5CGGZ}

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	2026-05-18T03:38:12.005696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5be84a2b229ee6e0fed0f67477446364c344fc2cff805229a948a2f50165c89

Aliases

arxiv: 1212.4568 · arxiv_version: 1212.4568v1 · doi: 10.48550/arxiv.1212.4568 · pith_short_12: 6W7IJIVSFHXG · pith_short_16: 6W7IJIVSFHXG4D7N · pith_short_8: 6W7IJIVS

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/6W7IJIVSFHXG4D7NB5TUO5CGGZ \
  | 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: f5be84a2b229ee6e0fed0f67477446364c344fc2cff805229a948a2f50165c89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "465cc41129b205035b489b27ab9a565b532ad9f385e500995e9773b774b64590",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-12-19T03:45:00Z",
    "title_canon_sha256": "d5d1c1c85677724b7fbbc569237145122d46d90be5e4f87cdbd6af9b137c5dc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4568",
    "kind": "arxiv",
    "version": 1
  }
}