Pith Number

pith:GUOVQ4KZ

pith:2008:GUOVQ4KZOUJPDIJNO2WLUQMDYT

not attested not anchored not stored refs pending

Doubling property for biLipschitz homogeneous geodesic surfaces

Enrico Le Donne

arxiv:0811.0125 v2 · 2008-11-02 · math.MG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GUOVQ4KZOUJPDIJNO2WLUQMDYT}

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	2026-05-18T01:20:49.104389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

351d5871597512f1a12d76acba4183c4e56cb6f75c8d2ce140401fbb6f591a5e

Aliases

arxiv: 0811.0125 · arxiv_version: 0811.0125v2 · doi: 10.48550/arxiv.0811.0125 · pith_short_12: GUOVQ4KZOUJP · pith_short_16: GUOVQ4KZOUJPDIJN · pith_short_8: GUOVQ4KZ

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/GUOVQ4KZOUJPDIJNO2WLUQMDYT \
  | 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: 351d5871597512f1a12d76acba4183c4e56cb6f75c8d2ce140401fbb6f591a5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c879fb310586fd459d81a565c6d4a58c9bf90c6449783aece9aef075e3fe1c26",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2008-11-02T04:00:10Z",
    "title_canon_sha256": "a49a58e3edf69b1b27a26346635e90ffa50a77df8cc1e1fe5ecf9ee3b703acda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.0125",
    "kind": "arxiv",
    "version": 2
  }
}