Pith Number

pith:IZFQ224N

pith:2010:IZFQ224NPPMMAZPR4U2GWSES2N

not attested not anchored not stored refs pending

Ideal Triangulations of Pseudo-Anosov Mapping Tori

Ian Agol

arxiv:1008.1606 v2 · 2010-08-09 · 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{IZFQ224NPPMMAZPR4U2GWSES2N}

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	2026-05-18T04:41:55.652820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

464b0d6b8d7bd8c065f1e5346b4892d36067cf5dd1778b9f9d3686551d045e6c

Aliases

arxiv: 1008.1606 · arxiv_version: 1008.1606v2 · doi: 10.48550/arxiv.1008.1606 · pith_short_12: IZFQ224NPPMM · pith_short_16: IZFQ224NPPMMAZPR · pith_short_8: IZFQ224N

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/IZFQ224NPPMMAZPR4U2GWSES2N \
  | 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: 464b0d6b8d7bd8c065f1e5346b4892d36067cf5dd1778b9f9d3686551d045e6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2c3920485a2fd2efa295a2c1d3fe8e2808366ffe3d8cc500af370f15a34c5bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-08-09T23:58:52Z",
    "title_canon_sha256": "5d0e22209858fb25c8213adaba211d68e654b4804120fc3c3675f800d6a63c1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1606",
    "kind": "arxiv",
    "version": 2
  }
}