Pith Number

pith:DPT4KOW7

pith:2016:DPT4KOW7CZUA5AWUAVZGGLGORL

not attested not anchored not stored refs pending

Asymptotics of Ramsey numbers of double stars

Sergey Norin, Yi Zhao, Yue Ru Sun

arxiv:1605.03612 v1 · 2016-05-11 · 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{DPT4KOW7CZUA5AWUAVZGGLGORL}

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	2026-05-18T01:15:00.793727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1be7c53adf16680e82d40572632cce8ada9f4be53ac763da99b26af754d68b9e

Aliases

arxiv: 1605.03612 · arxiv_version: 1605.03612v1 · doi: 10.48550/arxiv.1605.03612 · pith_short_12: DPT4KOW7CZUA · pith_short_16: DPT4KOW7CZUA5AWU · pith_short_8: DPT4KOW7

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/DPT4KOW7CZUA5AWUAVZGGLGORL \
  | 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: 1be7c53adf16680e82d40572632cce8ada9f4be53ac763da99b26af754d68b9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f791b801e3d02804ee1c7c55b7d95d719c8abd6bc5f1614b35b1656c51917da8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-11T20:30:21Z",
    "title_canon_sha256": "ce8f7339da29d3d81e30c93f5d1bce8eef5b2fdbe311bd1eb3708b09007089f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03612",
    "kind": "arxiv",
    "version": 1
  }
}