Pith Number

pith:FD7GETZV

pith:2016:FD7GETZV77APZCFKVDY5OOICY2

not attested not anchored not stored refs pending

Short Proof of Erd\H os Conjecture for Triple Systems

Andrzej Ruci\'nski, Peter Frankl, Vojtech R\"odl

arxiv:1609.00530 v1 · 2016-09-02 · 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	2026-05-18T01:06:23.755883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28fe624f35ffc0fc88aaa8f1d73902c6ba9f575d33ceb085814206fbbcfe553d

Aliases

arxiv: 1609.00530 · arxiv_version: 1609.00530v1 · doi: 10.48550/arxiv.1609.00530 · pith_short_12: FD7GETZV77AP · pith_short_16: FD7GETZV77APZCFK · pith_short_8: FD7GETZV

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/FD7GETZV77APZCFKVDY5OOICY2 \
  | 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: 28fe624f35ffc0fc88aaa8f1d73902c6ba9f575d33ceb085814206fbbcfe553d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c278561815f03d0102fbea0b10ccce4ec3a5ddddd439ec7f3ac2cd69d82f1a52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-02T10:12:46Z",
    "title_canon_sha256": "0b31cc46e02b8c910405fcd9f6165a0b4167159bee1e9f3e4603c8f6dbd13515"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00530",
    "kind": "arxiv",
    "version": 1
  }
}