Pith Number

pith:THDRGLDP

pith:2013:THDRGLDPLYSIPZYUQEXXAZJKQH

not attested not anchored not stored refs pending

A generalization of the Epstein-Penner construction to projective manifolds

Darren Long, Daryl Cooper

arxiv:1307.5016 v1 · 2013-07-18 · 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{THDRGLDPLYSIPZYUQEXXAZJKQH}

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	2026-05-18T03:18:06.923855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99c7132c6f5e2487e714812f70652a81f8db9b66d62241d90ef81bd09ac2f489

Aliases

arxiv: 1307.5016 · arxiv_version: 1307.5016v1 · doi: 10.48550/arxiv.1307.5016 · pith_short_12: THDRGLDPLYSI · pith_short_16: THDRGLDPLYSIPZYU · pith_short_8: THDRGLDP

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/THDRGLDPLYSIPZYUQEXXAZJKQH \
  | 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: 99c7132c6f5e2487e714812f70652a81f8db9b66d62241d90ef81bd09ac2f489

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "736af440e5228e062d5693588b58675eb4dd4716b5dc5edb96bc13d08f58c1f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-07-18T17:16:49Z",
    "title_canon_sha256": "7f659226ef0b108c832e89ed146c4e38c16b27c80291263a7ef9330471017698"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5016",
    "kind": "arxiv",
    "version": 1
  }
}