Pith Number

pith:AB4U36OZ

pith:2008:AB4U36OZIUOBVU4RQE2FPFYBIX

not attested not anchored not stored refs pending

Lipschitz Characterisation of Polytopal Hilbert Geometries

Constantin Vernicos

arxiv:0812.1032 v1 · 2008-12-04 · math.DG · 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{AB4U36OZIUOBVU4RQE2FPFYBIX}

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	2026-05-18T02:31:48.778773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00794df9d9451c1ad391813457970145e4c85bb62fb44461d4db0718423fac92

Aliases

arxiv: 0812.1032 · arxiv_version: 0812.1032v1 · doi: 10.48550/arxiv.0812.1032 · pith_short_12: AB4U36OZIUOB · pith_short_16: AB4U36OZIUOBVU4R · pith_short_8: AB4U36OZ

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/AB4U36OZIUOBVU4RQE2FPFYBIX \
  | 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: 00794df9d9451c1ad391813457970145e4c85bb62fb44461d4db0718423fac92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd308e0862f4d583b22c24338e4fd4e1b0b57d828d41084d1bb3c155480e56ba",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-12-04T21:52:25Z",
    "title_canon_sha256": "450800adda1a31ca60bf81bb36640f1fadd2d99444db57a79148f13ce89b5c02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.1032",
    "kind": "arxiv",
    "version": 1
  }
}