Pith Number

pith:ZRASQYWM

pith:2011:ZRASQYWM4ZQLMVFXR6OK7DKA32

not attested not anchored not stored refs pending

Annular-Efficient Triangulations of 3-manifolds

J.Hyam Rubinstein, William Jaco

arxiv:1108.2936 v1 · 2011-08-15 · 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{ZRASQYWM4ZQLMVFXR6OK7DKA32}

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	2026-05-18T04:15:28.947717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc412862cce660b654b78f9caf8d40de911eb8c58a4c780be9bf13489351455b

Aliases

arxiv: 1108.2936 · arxiv_version: 1108.2936v1 · doi: 10.48550/arxiv.1108.2936 · pith_short_12: ZRASQYWM4ZQL · pith_short_16: ZRASQYWM4ZQLMVFX · pith_short_8: ZRASQYWM

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/ZRASQYWM4ZQLMVFXR6OK7DKA32 \
  | 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: cc412862cce660b654b78f9caf8d40de911eb8c58a4c780be9bf13489351455b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90117c5457c0c59af34808ceddec499cfe0be4e0e3dce8bcaf0fc2ae644f74ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-08-15T05:52:41Z",
    "title_canon_sha256": "ed10d42c2ab286a9acc9ee4e5aa42f2d16cd2a28b9f21e4f675056abf1a935c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2936",
    "kind": "arxiv",
    "version": 1
  }
}