Pith Number

pith:WHH3YZMG

pith:2010:WHH3YZMG3XBEJKVUOYXGFSLZ2I

not attested not anchored not stored refs pending

Intrinsic isometries in Euclidean space

Anton Petrunin

arxiv:1003.5621 v3 · 2010-03-29 · math.MG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WHH3YZMG3XBEJKVUOYXGFSLZ2I}

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	2026-05-17T23:56:56.546507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1cfbc6586ddc244aab4762e62c979d20c3b4dd464bf8fa2e6bc3b08fd3da865

Aliases

arxiv: 1003.5621 · arxiv_version: 1003.5621v3 · doi: 10.48550/arxiv.1003.5621 · pith_short_12: WHH3YZMG3XBE · pith_short_16: WHH3YZMG3XBEJKVU · pith_short_8: WHH3YZMG

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/WHH3YZMG3XBEJKVUOYXGFSLZ2I \
  | 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: b1cfbc6586ddc244aab4762e62c979d20c3b4dd464bf8fa2e6bc3b08fd3da865

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "589b9ab57fc725d58d82693845cc581ccad0910a7cc8859bc086ecd962085977",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-03-29T17:41:55Z",
    "title_canon_sha256": "aff298ffa19916b8a3ed64f9848904543736ab5b1a96ca31e85270d348523838"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5621",
    "kind": "arxiv",
    "version": 3
  }
}