Pith Number

pith:WWIP5YLR

pith:2026:WWIP5YLR2DKDCKBTLJGUAFED4H

not attested not anchored not stored refs pending

A contact version of Kirby's theorem

Eric Stenhede, Marc Kegel, Vera V\'ertesi

arxiv:2605.27126 v1 · 2026-05-26 · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WWIP5YLR2DKDCKBTLJGUAFED4H}

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	2026-05-27T02:05:43.313942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b590fee171d0d43128335a4d401483e1e3e5f77e60a05015b0e8d6e9a13d8059

Aliases

arxiv: 2605.27126 · arxiv_version: 2605.27126v1 · doi: 10.48550/arxiv.2605.27126 · pith_short_12: WWIP5YLR2DKD · pith_short_16: WWIP5YLR2DKDCKBT · pith_short_8: WWIP5YLR

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/WWIP5YLR2DKDCKBTLJGUAFED4H \
  | 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: b590fee171d0d43128335a4d401483e1e3e5f77e60a05015b0e8d6e9a13d8059

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1728abc1253f4850f67d77712adeaf9ca0f16e20579544a218b482d2e2a9ccaf",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-05-26T14:58:29Z",
    "title_canon_sha256": "64daf4d3d71a329d819f0cf6455390b398420eecd91c67a1f2d6456af69af27c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.27126",
    "kind": "arxiv",
    "version": 1
  }
}