Pith Number

pith:DG3DXRBD

pith:2015:DG3DXRBDIHOPC267ZPVJFFLBEM

not attested not anchored not stored refs pending

On independent $[1,2]$-sets in trees

Jose Caceres, Maria Luz Puertas, Sahar Aleid

arxiv:1511.09262 v1 · 2015-11-30 · 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{DG3DXRBDIHOPC267ZPVJFFLBEM}

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	2026-05-18T01:25:40.696296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19b63bc42341dcf16bdfcbea9295612302b0d77d8f7bc10e57273d0be51d7de5

Aliases

arxiv: 1511.09262 · arxiv_version: 1511.09262v1 · doi: 10.48550/arxiv.1511.09262 · pith_short_12: DG3DXRBDIHOP · pith_short_16: DG3DXRBDIHOPC267 · pith_short_8: DG3DXRBD

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/DG3DXRBDIHOPC267ZPVJFFLBEM \
  | 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: 19b63bc42341dcf16bdfcbea9295612302b0d77d8f7bc10e57273d0be51d7de5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18f140d73fb223c45c6965490796fc081b05d1ccf5a57c4ac0eae4a4c23b40f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-30T12:04:52Z",
    "title_canon_sha256": "8d44638450c6cfa11555262eee3c4d5a7a23db569a5cc066724b444cb2b86843"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.09262",
    "kind": "arxiv",
    "version": 1
  }
}