Pith Number

pith:JUEMKM43

pith:2014:JUEMKM43TDJLJJMXKKUOXF7T2R

not attested not anchored not stored refs pending

The Saturation Number for the length of Degree Monotone Paths

Christina Zarb, Josef Lauri, Yair Caro

arxiv:1409.5213 v1 · 2014-09-18 · 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{JUEMKM43TDJLJJMXKKUOXF7T2R}

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	2026-05-18T02:42:30.500883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d08c5339b98d2b4a59752a8eb97f3d453a542095455884a9177d345dc00ca2e

Aliases

arxiv: 1409.5213 · arxiv_version: 1409.5213v1 · doi: 10.48550/arxiv.1409.5213 · pith_short_12: JUEMKM43TDJL · pith_short_16: JUEMKM43TDJLJJMX · pith_short_8: JUEMKM43

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/JUEMKM43TDJLJJMXKKUOXF7T2R \
  | 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: 4d08c5339b98d2b4a59752a8eb97f3d453a542095455884a9177d345dc00ca2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be81d83661d836ebf3805bab53eadb12b9ef86b471890cb52bcdd28e90f61a73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-18T07:43:29Z",
    "title_canon_sha256": "8acc8bf8787278fb9f04c29d0547eb7d1acc175da5b4ad07c2d4550e1938f997"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5213",
    "kind": "arxiv",
    "version": 1
  }
}