Pith Number

pith:GG2QEDWV

pith:2015:GG2QEDWVLGYSRC4VRY77WKGXWW

not attested not anchored not stored refs pending

Geometric stability via information theory

Amir Yehudayoff, David Ellis, Ehud Friedgut, Guy Kindler

arxiv:1510.00258 v4 · 2015-09-29 · math.MG · cs.IT · math.CO · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GG2QEDWVLGYSRC4VRY77WKGXWW}

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	2026-05-18T00:52:53.033702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31b5020ed559b1288b958e3ffb28d7b585be05247d7629517cd692cc5e1d5f06

Aliases

arxiv: 1510.00258 · arxiv_version: 1510.00258v4 · doi: 10.48550/arxiv.1510.00258 · pith_short_12: GG2QEDWVLGYS · pith_short_16: GG2QEDWVLGYSRC4V · pith_short_8: GG2QEDWV

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/GG2QEDWVLGYSRC4VRY77WKGXWW \
  | 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: 31b5020ed559b1288b958e3ffb28d7b585be05247d7629517cd692cc5e1d5f06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "199db167092ec0d6e4ee92db4f8e917bce7fef9aa0f8674a278984d82370ede7",
    "cross_cats_sorted": [
      "cs.IT",
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-09-29T18:29:05Z",
    "title_canon_sha256": "783f7411779e7922c8f9ec19a1caa38b384acb89b4cbfdd6166d210ca1595092"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00258",
    "kind": "arxiv",
    "version": 4
  }
}