Pith Number

pith:FYPIZCV5

pith:2015:FYPIZCV5A5D775LNAEDV2P2E4I

not attested not anchored not stored refs pending

The Area of Convex Projective Surfaces and Fock-Goncharov Coordinates

Daryl Cooper, Ilesanmi Adeboye

arxiv:1506.08245 v2 · 2015-06-27 · 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{FYPIZCV5A5D775LNAEDV2P2E4I}

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	2026-05-18T01:14:18.013147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e1e8c8abd0747fff56d01075d3f44e216b0bb13a16b3e7b1eec97d9fe5a7efe

Aliases

arxiv: 1506.08245 · arxiv_version: 1506.08245v2 · doi: 10.48550/arxiv.1506.08245 · pith_short_12: FYPIZCV5A5D7 · pith_short_16: FYPIZCV5A5D775LN · pith_short_8: FYPIZCV5

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/FYPIZCV5A5D775LNAEDV2P2E4I \
  | 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: 2e1e8c8abd0747fff56d01075d3f44e216b0bb13a16b3e7b1eec97d9fe5a7efe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0098c1e428a2187ad64ecea603391011102663ec5a1a7ea097414d16efab3b91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-06-27T00:44:48Z",
    "title_canon_sha256": "4a726c02b0cc3ceaad13b90ff9d939d173f5244b8072f9415bd9e8f1fe3d277c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08245",
    "kind": "arxiv",
    "version": 2
  }
}