Pith Number

pith:X245GDTA

pith:2016:X245GDTAPONYF2XTCXGM5EUIRT

not attested not anchored not stored refs pending

Pairwise disjoint maximal cliques in random graphs and sequential motion planning on random right angled Artin groups

B\'arbara Guti\'errez, Hugo Mas, Jes\'us Gonz\'alez

arxiv:1601.02996 v1 · 2016-01-12 · math.CO · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X245GDTAPONYF2XTCXGM5EUIRT}

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	2026-05-18T01:22:59.154597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beb9d30e607b9b82eaf315ccce92888cee30736f3c1c7eabb6a46c915922c28c

Aliases

arxiv: 1601.02996 · arxiv_version: 1601.02996v1 · doi: 10.48550/arxiv.1601.02996 · pith_short_12: X245GDTAPONY · pith_short_16: X245GDTAPONYF2XT · pith_short_8: X245GDTA

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/X245GDTAPONYF2XTCXGM5EUIRT \
  | 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: beb9d30e607b9b82eaf315ccce92888cee30736f3c1c7eabb6a46c915922c28c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7790f42a49569fc2ce0b0690438e65e1235f7d63e57d29144d1d06f51f3ca36",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-12T18:52:51Z",
    "title_canon_sha256": "705f47a3c267c8db5db811d9f143cdf54af80335fb27518aba53be7352f8173e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02996",
    "kind": "arxiv",
    "version": 1
  }
}