Pith Number

pith:YFBCLZTP

pith:2011:YFBCLZTPJ7OPYWQHSZTKGL2SVK

not attested not anchored not stored refs pending

On the topology of ending lamination space

David Gabai

arxiv:1105.3648 v1 · 2011-05-18 · 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{YFBCLZTPJ7OPYWQHSZTKGL2SVK}

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	2026-05-18T02:31:12.441335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c14225e66f4fdcfc5a079666a32f52aab5d52e5ada911a7402083335b739b5fd

Aliases

arxiv: 1105.3648 · arxiv_version: 1105.3648v1 · doi: 10.48550/arxiv.1105.3648 · pith_short_12: YFBCLZTPJ7OP · pith_short_16: YFBCLZTPJ7OPYWQH · pith_short_8: YFBCLZTP

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/YFBCLZTPJ7OPYWQHSZTKGL2SVK \
  | 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: c14225e66f4fdcfc5a079666a32f52aab5d52e5ada911a7402083335b739b5fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55df30b9b9ef2e6b7c7f0a8e81264aae75d3448c9907b592efcf72ac5adca09a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-05-18T14:29:20Z",
    "title_canon_sha256": "ebef37010c6243c8a16fb8ab4fce4a388845950cea146cbc48d2126d620e567f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3648",
    "kind": "arxiv",
    "version": 1
  }
}