Pith Number

pith:QJWXEIJD

pith:2011:QJWXEIJDYINFMVE2VAHO7IS7ZG

not attested not anchored not stored refs pending

Ramsey numbers for trees

Zhi-Hong Sun

arxiv:1103.2685 v6 · 2011-03-14 · 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{QJWXEIJDYINFMVE2VAHO7IS7ZG}

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	2026-05-18T02:39:24.455649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

826d722123c21a56549aa80eefa25fc9af87e80677d52659ad11943f17aafeb9

Aliases

arxiv: 1103.2685 · arxiv_version: 1103.2685v6 · doi: 10.48550/arxiv.1103.2685 · pith_short_12: QJWXEIJDYINF · pith_short_16: QJWXEIJDYINFMVE2 · pith_short_8: QJWXEIJD

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/QJWXEIJDYINFMVE2VAHO7IS7ZG \
  | 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: 826d722123c21a56549aa80eefa25fc9af87e80677d52659ad11943f17aafeb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6b57321915f15e79d3139fa297d4fea2f4d8cc7bb2ec501f1418d4eb3c3c4ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-14T15:07:18Z",
    "title_canon_sha256": "c937c3ea2ca1e718f71e9cd068066433d2a1866f4453ada3b29e77e05c470932"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2685",
    "kind": "arxiv",
    "version": 6
  }
}