Pith Number

pith:Y4OWMAHL

pith:2016:Y4OWMAHL25CWDOQWD2OA5VBMR3

not attested not anchored not stored refs pending

Unavoidable trees in tournaments

Richard Mycroft, T\'assio Naia

arxiv:1609.03393 v1 · 2016-09-12 · 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{Y4OWMAHL25CWDOQWD2OA5VBMR3}

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	2026-05-18T01:04:47.050620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c71d6600ebd74561ba161e9c0ed42c8ed62e99f6b512ceb86caa5595392ddb7e

Aliases

arxiv: 1609.03393 · arxiv_version: 1609.03393v1 · doi: 10.48550/arxiv.1609.03393 · pith_short_12: Y4OWMAHL25CW · pith_short_16: Y4OWMAHL25CWDOQW · pith_short_8: Y4OWMAHL

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/Y4OWMAHL25CWDOQWD2OA5VBMR3 \
  | 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: c71d6600ebd74561ba161e9c0ed42c8ed62e99f6b512ceb86caa5595392ddb7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a778b2a1ad3dc6b524de21b79ea37a2e488a2d2bceeb3049db0c88192ab9e0ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-12T13:37:14Z",
    "title_canon_sha256": "8e94bcc3b2e35b500b333e4643675992eed9e295f07a22915b428cc28d5a6d8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03393",
    "kind": "arxiv",
    "version": 1
  }
}