Pith Number

pith:YRXM5KXL

pith:2015:YRXM5KXLRH7HPGB7OBESVRLOJH

not attested not anchored not stored refs pending

Lift-and-project ranks of the stable set polytope of joined a-perfect graphs

M. Escalante, M.S. Montelar, S. Bianchi

arxiv:1504.07888 v1 · 2015-04-29 · 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{YRXM5KXLRH7HPGB7OBESVRLOJH}

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	2026-05-18T01:03:23.821411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c46eceaaeb89fe77983f70492ac56e49f92f5f711b80a7b7da60918e59f91e32

Aliases

arxiv: 1504.07888 · arxiv_version: 1504.07888v1 · doi: 10.48550/arxiv.1504.07888 · pith_short_12: YRXM5KXLRH7H · pith_short_16: YRXM5KXLRH7HPGB7 · pith_short_8: YRXM5KXL

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/YRXM5KXLRH7HPGB7OBESVRLOJH \
  | 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: c46eceaaeb89fe77983f70492ac56e49f92f5f711b80a7b7da60918e59f91e32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "686f39a70e8153b00364c69ed5556b8892acba4ea00629f92f0b6255e99ef481",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-29T15:21:26Z",
    "title_canon_sha256": "bf512ad10b99d9b898b65c0089f893acb1cfffda90b0451b1f13a2f62b116566"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07888",
    "kind": "arxiv",
    "version": 1
  }
}