Pith Number

pith:IN33S6PK

pith:2012:IN33S6PK7SFGHF5T6QJMVF73I7

not attested not anchored not stored refs pending

Boundary Values of the Thurston Pullback Map

Russell Lodge

arxiv:1212.2672 v1 · 2012-12-11 · 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{IN33S6PK7SFGHF5T6QJMVF73I7}

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	2026-05-18T03:38:35.714848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4377b979eafc8a6397b3f412ca97fb47fb1edd2c1bba7f41048e041b6d5cbe90

Aliases

arxiv: 1212.2672 · arxiv_version: 1212.2672v1 · doi: 10.48550/arxiv.1212.2672 · pith_short_12: IN33S6PK7SFG · pith_short_16: IN33S6PK7SFGHF5T · pith_short_8: IN33S6PK

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/IN33S6PK7SFGHF5T6QJMVF73I7 \
  | 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: 4377b979eafc8a6397b3f412ca97fb47fb1edd2c1bba7f41048e041b6d5cbe90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d25805e1c8d7a703347b88ceb369c7e821e07c5977e44c4b13ccb931ab3ee220",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-12-11T22:50:34Z",
    "title_canon_sha256": "a4a299c597a142085094a661bfd5b6ff50e357be0188e2ed55c955fc6901e690"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2672",
    "kind": "arxiv",
    "version": 1
  }
}