Pith Number

pith:NUKZ3W5L

pith:2026:NUKZ3W5LY6BNXV7JJNVQLJ4JKW

not attested not anchored not stored refs pending

Old and new structures on Ran spaces: Length structures, completeness, and conicality

Marie Labeye, Sylvain Douteau

arxiv:2606.10952 v1 · 2026-06-09 · math.AT · math.GN · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NUKZ3W5LY6BNXV7JJNVQLJ4JKW}

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	2026-06-10T01:10:49.707977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d159ddbabc782dbd7e94b6b05a7895596639f43e74e51f1150fecf65e689aa9

Aliases

arxiv: 2606.10952 · arxiv_version: 2606.10952v1 · doi: 10.48550/arxiv.2606.10952 · pith_short_12: NUKZ3W5LY6BN · pith_short_16: NUKZ3W5LY6BNXV7J · pith_short_8: NUKZ3W5L

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/NUKZ3W5LY6BNXV7JJNVQLJ4JKW \
  | 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: 6d159ddbabc782dbd7e94b6b05a7895596639f43e74e51f1150fecf65e689aa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a5b88be9a6237aedfd36ece9eeed57bcd7b0a1010b644c292b93211f91c969f",
    "cross_cats_sorted": [
      "math.GN",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-06-09T14:55:38Z",
    "title_canon_sha256": "9635fd208bf1334cec0271f9595b660cb2b3219816b7b93b1449769bb46a67d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10952",
    "kind": "arxiv",
    "version": 1
  }
}