Pith Number

pith:GCGHQ5X4

pith:2011:GCGHQ5X474H3APBDV5ROAEYELQ

not attested not anchored not stored refs pending

Polygons of the Lorentzian plane and spherical simplexes

Fran\c{c}ois Fillastre

arxiv:1111.3511 v2 · 2011-11-15 · 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{GCGHQ5X474H3APBDV5ROAEYELQ}

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	2026-05-18T03:29:03.970258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

308c7876fcff0fb03c23af62e013045c2faaac2c1a8b079228c4facf931ef9c3

Aliases

arxiv: 1111.3511 · arxiv_version: 1111.3511v2 · doi: 10.48550/arxiv.1111.3511 · pith_short_12: GCGHQ5X474H3 · pith_short_16: GCGHQ5X474H3APBD · pith_short_8: GCGHQ5X4

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/GCGHQ5X474H3APBDV5ROAEYELQ \
  | 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: 308c7876fcff0fb03c23af62e013045c2faaac2c1a8b079228c4facf931ef9c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0eaf0b4308c8376f0de7e202221d35f65c5a91f12334530eccce6e43946b303",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-11-15T12:01:06Z",
    "title_canon_sha256": "149efadf542378b7a5be00972ae596dcb6a45132046a1984096d838ff1ce2d01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3511",
    "kind": "arxiv",
    "version": 2
  }
}