Pith Number

pith:G5XTJVKL

pith:2013:G5XTJVKLX5FUNX4XKNAZJOJD2H

not attested not anchored not stored refs pending

Critical connectedness of thin arithmetical discrete planes

Damien Jamet, Timo Jolivet, Val\'erie Berth\'e, Xavier Proven\c{c}al

arxiv:1312.7820 v2 · 2013-12-30 · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G5XTJVKLX5FUNX4XKNAZJOJD2H}

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	2026-05-18T02:49:01.869694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

376f34d54bbf4b46df97534194b923d1cf214fd37c311572588e2f2c8282ee7c

Aliases

arxiv: 1312.7820 · arxiv_version: 1312.7820v2 · doi: 10.48550/arxiv.1312.7820 · pith_short_12: G5XTJVKLX5FU · pith_short_16: G5XTJVKLX5FUNX4X · pith_short_8: G5XTJVKL

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/G5XTJVKLX5FUNX4XKNAZJOJD2H \
  | 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: 376f34d54bbf4b46df97534194b923d1cf214fd37c311572588e2f2c8282ee7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "616f2e9c2dadf329827af6b517ea55a31b04193ea94de25fd2228d659e91bbd4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-12-30T18:45:38Z",
    "title_canon_sha256": "30944e37a7ef5bcf4dcaabcd37c6e69127f7e68fff2646517bd7b916238c9740"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7820",
    "kind": "arxiv",
    "version": 2
  }
}