Pith Number

pith:DO5ZEMHL

pith:2011:DO5ZEMHLBHEL6PUE45E6AB6SNQ

not attested not anchored not stored refs pending

An upper bound on common stabilizations of Heegaard splittings

Jesse Johnson

arxiv:1107.2127 v1 · 2011-07-11 · 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{DO5ZEMHLBHEL6PUE45E6AB6SNQ}

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	2026-05-18T04:18:32.852088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bbb9230eb09c8bf3e84e749e007d26c1aa4df4908929fdc336512ac4b390853

Aliases

arxiv: 1107.2127 · arxiv_version: 1107.2127v1 · doi: 10.48550/arxiv.1107.2127 · pith_short_12: DO5ZEMHLBHEL · pith_short_16: DO5ZEMHLBHEL6PUE · pith_short_8: DO5ZEMHL

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/DO5ZEMHLBHEL6PUE45E6AB6SNQ \
  | 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: 1bbb9230eb09c8bf3e84e749e007d26c1aa4df4908929fdc336512ac4b390853

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59d5cca742bfdaa5c6510d59626be86dbe0f9576d86a8ad5bf2252603bfedf74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-07-11T20:04:49Z",
    "title_canon_sha256": "e3527e981cf7bb79553de568f4149398fa77f802b132e41a4e123b5d220a75c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2127",
    "kind": "arxiv",
    "version": 1
  }
}