Pith Number

pith:Z3MQC4FO

pith:2018:Z3MQC4FOP3CPP7PD7H3CX5ZBDM

not attested not anchored not stored refs pending

Avoiding long Berge cycles

Alexandr Kostochka, Ruth Luo, Zoltan Furedi

arxiv:1805.04195 v2 · 2018-05-10 · math.CO

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

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	2026-05-18T00:16:07.241396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ced90170ae7ec4f7fde3f9f62bf7211b355591f8a7822642c71e07ca37b8825c

Aliases

arxiv: 1805.04195 · arxiv_version: 1805.04195v2 · doi: 10.48550/arxiv.1805.04195 · pith_short_12: Z3MQC4FOP3CP · pith_short_16: Z3MQC4FOP3CPP7PD · pith_short_8: Z3MQC4FO

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/Z3MQC4FOP3CPP7PD7H3CX5ZBDM \
  | 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: ced90170ae7ec4f7fde3f9f62bf7211b355591f8a7822642c71e07ca37b8825c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de0edfa2c1b18156ae33d0e739af6d03983f094b69075c52a550378cef037e6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-10T22:18:57Z",
    "title_canon_sha256": "5d946051ccf770d80afdd39e458b11ecdeea0dcadf333470fe06718e9cf0a971"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.04195",
    "kind": "arxiv",
    "version": 2
  }
}