Pith Number

pith:QC3VABGL

pith:2026:QC3VABGLIB4UXLXTY5WQJWJEDG

not attested not anchored not stored refs pending

Nash's theorem via G\"unther's trick

Anton Petrunin

arxiv:2606.13564 v1 · 2026-06-11 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QC3VABGLIB4UXLXTY5WQJWJEDG}

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	2026-06-12T01:10:10.409407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80b75004cb40794baef3c76d04d92419b6d0854f0d8ca34e5e974d22224ba979

Aliases

arxiv: 2606.13564 · arxiv_version: 2606.13564v1 · doi: 10.48550/arxiv.2606.13564 · pith_short_12: QC3VABGLIB4U · pith_short_16: QC3VABGLIB4UXLXT · pith_short_8: QC3VABGL

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/QC3VABGLIB4UXLXTY5WQJWJEDG \
  | 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: 80b75004cb40794baef3c76d04d92419b6d0854f0d8ca34e5e974d22224ba979

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0320ded153e3da9ac606fe4e8e6298f0360adacc14259c7f513f259b16b52753",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-11T16:48:41Z",
    "title_canon_sha256": "b4c03a435f2f52a758ae3e4d8b9fd74c48307bade5d3dd5a2d988e70d20f69b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13564",
    "kind": "arxiv",
    "version": 1
  }
}