Pith Number

pith:MG4OTA5L

pith:2010:MG4OTA5LRXLBRPJLLNLZVDR3KL

not attested not anchored not stored refs pending

Explicit angle structures for veering triangulations

David Futer, Fran\c{c}ois Gu\'eritaud

arxiv:1012.5134 v2 · 2010-12-23 · 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{MG4OTA5LRXLBRPJLLNLZVDR3KL}

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	2026-05-18T02:41:50.616006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61b8e983ab8dd618bd2b5b579a8e3b52dc42ff25c1e8b341617d0120934265f9

Aliases

arxiv: 1012.5134 · arxiv_version: 1012.5134v2 · doi: 10.48550/arxiv.1012.5134 · pith_short_12: MG4OTA5LRXLB · pith_short_16: MG4OTA5LRXLBRPJL · pith_short_8: MG4OTA5L

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/MG4OTA5LRXLBRPJLLNLZVDR3KL \
  | 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: 61b8e983ab8dd618bd2b5b579a8e3b52dc42ff25c1e8b341617d0120934265f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff989371b94c0ce1ff2ba18300de4fc3a7a90d16d067a86a2d89ff26df659e09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-12-23T02:44:31Z",
    "title_canon_sha256": "401fcf34e599cfc68677860c3954c9f414770b53162711dec6a43a4a443b5e64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5134",
    "kind": "arxiv",
    "version": 2
  }
}