Pith Number

pith:IIUWHYYA

pith:2013:IIUWHYYABLBGYAW6VUKX6FXPZ3

not attested not anchored not stored refs pending

Tur\'an Numbers for Forests of Paths in Hypergraphs

Nathan Kettle, Neal Bushaw

arxiv:1303.5022 v4 · 2013-03-20 · 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{IIUWHYYABLBGYAW6VUKX6FXPZ3}

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	2026-05-18T02:58:13.173334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

422963e3000ac26c02dead157f16efcef2d0914ff954a80fe15bad9b8727d736

Aliases

arxiv: 1303.5022 · arxiv_version: 1303.5022v4 · doi: 10.48550/arxiv.1303.5022 · pith_short_12: IIUWHYYABLBG · pith_short_16: IIUWHYYABLBGYAW6 · pith_short_8: IIUWHYYA

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/IIUWHYYABLBGYAW6VUKX6FXPZ3 \
  | 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: 422963e3000ac26c02dead157f16efcef2d0914ff954a80fe15bad9b8727d736

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94ba74c74f502a4e90eba765cfc96047051e271c510442d417d2c4222b71239a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-20T18:38:10Z",
    "title_canon_sha256": "b55d42cdb8469ca21a34a02f47df290bb84aec0fe9eb10c669858d111705f5d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5022",
    "kind": "arxiv",
    "version": 4
  }
}