Pith Number

pith:YAZFHGQH

pith:2011:YAZFHGQHG2ZPTXP2IW5PEKARGV

not attested not anchored not stored refs pending

Not All Saturated 3-Forests Are Tight

Anna Gundert, Heidi Gebauer, Robin A. Moser, Yoshio Okamoto

arxiv:1109.3390 v1 · 2011-09-15 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YAZFHGQHG2ZPTXP2IW5PEKARGV}

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	2026-05-18T04:12:56.837434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c032539a0736b2f9ddfa45baf22811354d205afd0f898f39211c16f2c5779c6c

Aliases

arxiv: 1109.3390 · arxiv_version: 1109.3390v1 · doi: 10.48550/arxiv.1109.3390 · pith_short_12: YAZFHGQHG2ZP · pith_short_16: YAZFHGQHG2ZPTXP2 · pith_short_8: YAZFHGQH

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/YAZFHGQHG2ZPTXP2IW5PEKARGV \
  | 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: c032539a0736b2f9ddfa45baf22811354d205afd0f898f39211c16f2c5779c6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8088c40d0d341863a329c0b55a85cb708848db134e6b99c92c316e0d7f1dc679",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-15T15:41:59Z",
    "title_canon_sha256": "a75f262426a7d556c9eb182cc24d0f9fb2167056af79cc4df208739e7cd311bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3390",
    "kind": "arxiv",
    "version": 1
  }
}