Pith Number

pith:CPR5UW52

pith:2017:CPR5UW522CRVGMQZW24BRF3QQW

not attested not anchored not stored refs pending

On the generalized Erd\H{o}s--Kneser conjecture: proofs and reductions

Ethan Coldren, Florian Frick, Jai Aslam, Linus Setiabrata, Shuli Chen

arxiv:1712.03456 v1 · 2017-12-10 · 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{CPR5UW522CRVGMQZW24BRF3QQW}

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	2026-05-17T23:53:09.761891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13e3da5bbad0a3533219b6b8189770859e13d151ad0f47ec70254e0a0e33ac5d

Aliases

arxiv: 1712.03456 · arxiv_version: 1712.03456v1 · doi: 10.48550/arxiv.1712.03456 · pith_short_12: CPR5UW522CRV · pith_short_16: CPR5UW522CRVGMQZ · pith_short_8: CPR5UW52

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/CPR5UW522CRVGMQZW24BRF3QQW \
  | 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: 13e3da5bbad0a3533219b6b8189770859e13d151ad0f47ec70254e0a0e33ac5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2942adcd10e7a13d463df47e455756a8a9f43efb877608f89c5750057c1c9f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-10T00:23:36Z",
    "title_canon_sha256": "0b2e8705f5f10de42fbff7428f1d1b01a634f380d9f4c8f8f2c32704c7fa5771"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03456",
    "kind": "arxiv",
    "version": 1
  }
}