Pith Number

pith:GYIOBTZ3

pith:1998:GYIOBTZ3HDDWEEGHK4PVQCQ6PB

not attested not anchored not stored refs pending

The bottleneck conjecture

Greg Kuperberg

arxiv:math/9811119 v2 · 1998-11-19 · math.MG · math.DG · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GYIOBTZ3HDDWEEGHK4PVQCQ6PB}

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	2026-05-18T02:37:59.287489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3610e0cf3b38c76210c7571f580a1e7858aa3842db92903e4b7658e1110ef7d8

Aliases

arxiv: math/9811119 · arxiv_version: math/9811119v2 · doi: 10.48550/arxiv.math/9811119 · pith_short_12: GYIOBTZ3HDDW · pith_short_16: GYIOBTZ3HDDWEEGH · pith_short_8: GYIOBTZ3

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/GYIOBTZ3HDDWEEGHK4PVQCQ6PB \
  | 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: 3610e0cf3b38c76210c7571f580a1e7858aa3842db92903e4b7658e1110ef7d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c5c7ab5dc065e0bb7876ecd28765d4a3ba0d8701516625af945058dfcfe332a",
    "cross_cats_sorted": [
      "math.DG",
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.MG",
    "submitted_at": "1998-11-19T23:56:56Z",
    "title_canon_sha256": "b42a054f0d7d7ac9c440478732024a7de92a3d94809317ab1f540e54a4397584"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9811119",
    "kind": "arxiv",
    "version": 2
  }
}