Pith Number

pith:SUZM367B

pith:2015:SUZM367BDN4K2DEU5FYMBE4E6X

not attested not anchored not stored refs pending

Morse area and Scharlemann-Thompson width for hyperbolic 3-manifolds

Diane Hoffoss, Joseph Maher

arxiv:1503.08521 v2 · 2015-03-30 · 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{SUZM367BDN4K2DEU5FYMBE4E6X}

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	2026-05-18T01:20:36.671347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9532cdfbe11b78ad0c94e970c09384f5de18d0efda0a2656dc1ff2a6d2141bef

Aliases

arxiv: 1503.08521 · arxiv_version: 1503.08521v2 · doi: 10.48550/arxiv.1503.08521 · pith_short_12: SUZM367BDN4K · pith_short_16: SUZM367BDN4K2DEU · pith_short_8: SUZM367B

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/SUZM367BDN4K2DEU5FYMBE4E6X \
  | 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: 9532cdfbe11b78ad0c94e970c09384f5de18d0efda0a2656dc1ff2a6d2141bef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96945a8777e1da7c84f89b1ecef103f58a40e52eb52f70d8b0e08f7cfab39d0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-03-30T01:56:23Z",
    "title_canon_sha256": "e9658c51542f86808f1f00e562b03c3e311f9c3ad9dfde1f3029727b4634c6e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08521",
    "kind": "arxiv",
    "version": 2
  }
}