Pith Number

pith:5BH4GCF3

pith:2014:5BH4GCF3NWXBDVRR6KBJBWQRP3

not attested not anchored not stored refs pending

On Martin's Pointed Tree Theorem

Frank Stephan, Liang Yu, Rupert H\"olzl

arxiv:1404.2073 v1 · 2014-04-08 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5BH4GCF3NWXBDVRR6KBJBWQRP3}

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	2026-05-18T02:54:38.622213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e84fc308bb6dae11d631f28290da117ec8460f85550d257c9a0ee56dd15bd7ba

Aliases

arxiv: 1404.2073 · arxiv_version: 1404.2073v1 · doi: 10.48550/arxiv.1404.2073 · pith_short_12: 5BH4GCF3NWXB · pith_short_16: 5BH4GCF3NWXBDVRR · pith_short_8: 5BH4GCF3

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/5BH4GCF3NWXBDVRR6KBJBWQRP3 \
  | 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: e84fc308bb6dae11d631f28290da117ec8460f85550d257c9a0ee56dd15bd7ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27146203a5f1d70444872e2ef7e767ea455091f3a7371ede8633f0bf8accda6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-04-08T10:12:25Z",
    "title_canon_sha256": "c9831c7a8f0b49fe7b433d09a5dcbd8e90daad62b8addc3f943d4b129962011b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.2073",
    "kind": "arxiv",
    "version": 1
  }
}