Pith Number

pith:OB335KHE

pith:2026:OB335KHEBCNWYOM2IEWOWQ2NPK

not attested not anchored not stored refs pending

Euclidean vs Graph Metric: The Fixed-Source Problem

Itai Benjamini

arxiv:2606.13271 v1 · 2026-06-11 · 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{OB335KHEBCNWYOM2IEWOWQ2NPK}

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	2026-06-12T01:09:49.777947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7077bea8e4089b6c399a412ceb434d7a8b70e07e6d27044cac28a0714363b86c

Aliases

arxiv: 2606.13271 · arxiv_version: 2606.13271v1 · doi: 10.48550/arxiv.2606.13271 · pith_short_12: OB335KHEBCNW · pith_short_16: OB335KHEBCNWYOM2 · pith_short_8: OB335KHE

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/OB335KHEBCNWYOM2IEWOWQ2NPK \
  | 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: 7077bea8e4089b6c399a412ceb434d7a8b70e07e6d27044cac28a0714363b86c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a482cc27589fcfd5123d412042482c1a3cc52a64c1b4fd194446908e31d5ecd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-06-11T12:24:55Z",
    "title_canon_sha256": "05ad62bf4bede2022f5606c202a9173cc3fbc501b8024d2f5f20c3f03a5c7c98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13271",
    "kind": "arxiv",
    "version": 1
  }
}