Pith Number

pith:MISMIM2E

pith:2016:MISMIM2E5UNIHPBUNTXNFDUKW3

not attested not anchored not stored refs pending

On multicolor Ramsey number for 3-paths of length three

Joanna Polcyn, Tomasz {\L}uczak

arxiv:1611.08247 v1 · 2016-11-24 · 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{MISMIM2E5UNIHPBUNTXNFDUKW3}

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	2026-05-18T00:56:39.740920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6224c43344ed1a83bc346ceed28e8ab6d41f63d4ac370e9acf65534075d4e096

Aliases

arxiv: 1611.08247 · arxiv_version: 1611.08247v1 · doi: 10.48550/arxiv.1611.08247 · pith_short_12: MISMIM2E5UNI · pith_short_16: MISMIM2E5UNIHPBU · pith_short_8: MISMIM2E

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/MISMIM2E5UNIHPBUNTXNFDUKW3 \
  | 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: 6224c43344ed1a83bc346ceed28e8ab6d41f63d4ac370e9acf65534075d4e096

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afc184ba19cf6ce22f030a521b4b0aac3a9d954936c8edf088e683082e67dc8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-24T16:43:39Z",
    "title_canon_sha256": "e7348e35cddf20a44867c65bdc0373cb04e40ec2f84d47e84505e832addbc9a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08247",
    "kind": "arxiv",
    "version": 1
  }
}