Pith Number

pith:2XOGLVCZ

pith:2010:2XOGLVCZBIVDAJK4YML4F5PXSS

not attested not anchored not stored refs pending

Existence and uniqueness theorem for convex polyhedral metrics on compact surfaces

Fran\c{c}ois Fillastre

arxiv:1011.3123 v1 · 2010-11-13 · 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{2XOGLVCZBIVDAJK4YML4F5PXSS}

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	2026-05-18T04:35:56.476462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5dc65d4590a2a30255cc317c2f5f794bb4798e567aec9c20eda04091b4963b5

Aliases

arxiv: 1011.3123 · arxiv_version: 1011.3123v1 · doi: 10.48550/arxiv.1011.3123 · pith_short_12: 2XOGLVCZBIVD · pith_short_16: 2XOGLVCZBIVDAJK4 · pith_short_8: 2XOGLVCZ

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/2XOGLVCZBIVDAJK4YML4F5PXSS \
  | 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: d5dc65d4590a2a30255cc317c2f5f794bb4798e567aec9c20eda04091b4963b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48cd188362e669172ac54972b2a047449e14d8855a79410794389a5e9ae281ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-11-13T09:55:20Z",
    "title_canon_sha256": "934eaf1ee844807e33f9bd9cf7b06dc1deb3bcb307bd72cd4012b0dd9ead3cbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3123",
    "kind": "arxiv",
    "version": 1
  }
}