Pith Number

pith:LFABMVKP

pith:2016:LFABMVKP7ROAS2HP24LIN3345J

not attested not anchored not stored refs pending

Two short proofs of the Perfect Forest Theorem

Christina Zarb, Josef Lauri, Yair Caro

arxiv:1612.05004 v1 · 2016-12-15 · 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{LFABMVKP7ROAS2HP24LIN3345J}

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	2026-05-18T00:54:53.658431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

594016554ffc5c0968efd71686ef7cea7649808c62a675301244d728879a3e52

Aliases

arxiv: 1612.05004 · arxiv_version: 1612.05004v1 · doi: 10.48550/arxiv.1612.05004 · pith_short_12: LFABMVKP7ROA · pith_short_16: LFABMVKP7ROAS2HP · pith_short_8: LFABMVKP

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/LFABMVKP7ROAS2HP24LIN3345J \
  | 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: 594016554ffc5c0968efd71686ef7cea7649808c62a675301244d728879a3e52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2962e25968304d6ce4539ec5b9168e28cdb539dbf8673b45607adc99658c9cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-15T10:30:52Z",
    "title_canon_sha256": "541b827ea6e7e68db5c31e46923215c05285b5b8ee0d68d99b9ce23f0c558932"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05004",
    "kind": "arxiv",
    "version": 1
  }
}