Pith Number

pith:HLVJKOQ3

pith:2012:HLVJKOQ35F47WUVW2XUDAIFSP2

not attested not anchored not stored refs pending

Asymptotic volume in Hilbert Geometries

Constantin Vernicos

arxiv:1207.1142 v1 · 2012-07-04 · math.MG · math.DG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HLVJKOQ35F47WUVW2XUDAIFSP2}

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	2026-05-18T02:50:34.237825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3aea953a1be979fb52b6d5e83020b27eba496212853376f2f9e8095ed367b0e4

Aliases

arxiv: 1207.1142 · arxiv_version: 1207.1142v1 · doi: 10.48550/arxiv.1207.1142 · pith_short_12: HLVJKOQ35F47 · pith_short_16: HLVJKOQ35F47WUVW · pith_short_8: HLVJKOQ3

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/HLVJKOQ35F47WUVW2XUDAIFSP2 \
  | 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: 3aea953a1be979fb52b6d5e83020b27eba496212853376f2f9e8095ed367b0e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59ddd2df8d73ee9d3f528463b472ad85fdc5e61233ff50fd01111c6a2a734f0f",
    "cross_cats_sorted": [
      "math.DG",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-07-04T23:40:35Z",
    "title_canon_sha256": "a6fe75ef892bec8883fdb15f35b34f08ee75b4edf1191dfc4240bd970ee36e63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1142",
    "kind": "arxiv",
    "version": 1
  }
}