Pith Number

pith:XU5DCITB

pith:2017:XU5DCITBTZARG7L6R3DLU3SCNA

not attested not anchored not stored refs pending

The Removal Lemma for Tournaments

Asaf Shapira, Jacob Fox, Lior Gishboliner, Raphael Yuster

arxiv:1710.05317 v1 · 2017-10-15 · 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	2026-05-18T00:32:51.541194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd3a3122619e41137d7e8ec6ba6e426833c55f1c73d28fb6b1f4a7bcb40f5f88

Aliases

arxiv: 1710.05317 · arxiv_version: 1710.05317v1 · doi: 10.48550/arxiv.1710.05317 · pith_short_12: XU5DCITBTZAR · pith_short_16: XU5DCITBTZARG7L6 · pith_short_8: XU5DCITB

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/XU5DCITBTZARG7L6R3DLU3SCNA \
  | 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: bd3a3122619e41137d7e8ec6ba6e426833c55f1c73d28fb6b1f4a7bcb40f5f88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3884f1f81684f7f32f965a4b4384e8509629b5e591391a17afa1195d3314f7a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-15T11:27:17Z",
    "title_canon_sha256": "da3eccb20d0a579f578dc72c8d878f3f1b2adb7a5d734df38b0ee30b80431e45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05317",
    "kind": "arxiv",
    "version": 1
  }
}