Pith Number

pith:O4YDR3OQ

pith:2015:O4YDR3OQ64LKLYQE3ERAL7OGRY

not attested not anchored not stored refs pending

Thin position for incompressible surfaces in 3-manifolds

J. Hyam Rubinstein, Kazuhiro Ichihara, Makoto Ozawa

arxiv:1511.00749 v1 · 2015-11-03 · 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{O4YDR3OQ64LKLYQE3ERAL7OGRY}

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	2026-05-18T01:28:06.491820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

773038edd0f716a5e204d92205fdc68e19e46895f8fdc7c3c039e970004f91ed

Aliases

arxiv: 1511.00749 · arxiv_version: 1511.00749v1 · doi: 10.48550/arxiv.1511.00749 · pith_short_12: O4YDR3OQ64LK · pith_short_16: O4YDR3OQ64LKLYQE · pith_short_8: O4YDR3OQ

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/O4YDR3OQ64LKLYQE3ERAL7OGRY \
  | 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: 773038edd0f716a5e204d92205fdc68e19e46895f8fdc7c3c039e970004f91ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1d0e49af1b4a79acce528625bcba845a4fc44e8aae09364076b1b750eee28b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-11-03T01:00:06Z",
    "title_canon_sha256": "c5a64890de52c6803cf9d9ec19790675d944250a14c555e2b8a47a3a1c395c89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00749",
    "kind": "arxiv",
    "version": 1
  }
}