Pith Number

pith:CZTHHRWN

pith:2019:CZTHHRWNSFEDEOR5P4MVJFERQA

not attested not anchored not stored refs pending

Lower bounds for rainbow Tur\'{a}n numbers of paths and other trees

Daniel Johnston, Puck Rombach

arxiv:1901.03308 v1 · 2019-01-10 · 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{CZTHHRWNSFEDEOR5P4MVJFERQA}

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	2026-05-17T23:56:34.770497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

166673c6cd9148323a3d7f19549491802ca66a90a60c2c77227635dadae66fa9

Aliases

arxiv: 1901.03308 · arxiv_version: 1901.03308v1 · doi: 10.48550/arxiv.1901.03308 · pith_short_12: CZTHHRWNSFED · pith_short_16: CZTHHRWNSFEDEOR5 · pith_short_8: CZTHHRWN

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/CZTHHRWNSFEDEOR5P4MVJFERQA \
  | 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: 166673c6cd9148323a3d7f19549491802ca66a90a60c2c77227635dadae66fa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "999c9e9709ee4edeac4cc4018463bcb7c100aa1576649fdea1d23fb299d696d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-10T18:23:00Z",
    "title_canon_sha256": "9110f2686d44b78eb5eb2501ed71936adec5d9e9313ce661d527b08ff257a436"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.03308",
    "kind": "arxiv",
    "version": 1
  }
}