Pith Number

pith:2GXBPJ4G

pith:2017:2GXBPJ4G3MUA6HWWUUTOF76ZHC

not attested not anchored not stored refs pending

Hyperbolic triangulations and discrete random graphs

Dorota Celi\'nska-Kopczy\'nska, Eryk Kopczy\'nski

arxiv:1707.01124 v2 · 2017-07-04 · cs.CG · cs.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2GXBPJ4G3MUA6HWWUUTOF76ZHC}

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	2026-05-17T23:56:55.875009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1ae17a786db280f1ed6a526e2ffd9388df3acbf80801aaeabcd41bb2ad63bb4

Aliases

arxiv: 1707.01124 · arxiv_version: 1707.01124v2 · doi: 10.48550/arxiv.1707.01124 · pith_short_12: 2GXBPJ4G3MUA · pith_short_16: 2GXBPJ4G3MUA6HWW · pith_short_8: 2GXBPJ4G

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/2GXBPJ4G3MUA6HWWUUTOF76ZHC \
  | 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: d1ae17a786db280f1ed6a526e2ffd9388df3acbf80801aaeabcd41bb2ad63bb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a86eae3b57053bcbd89b5518dfa7203c458aff04de8d4908d499fc4eb21cb92c",
    "cross_cats_sorted": [
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2017-07-04T18:21:12Z",
    "title_canon_sha256": "6d21a2f1e12dfbf2125365958a2e678b1c828702f74a72dd4c6a7babb2950516"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01124",
    "kind": "arxiv",
    "version": 2
  }
}