Pith Number

pith:65K6GMEG

pith:2013:65K6GMEG5TZB3P3ZXRNI5R2NL2

not attested not anchored not stored refs pending

A Theory of Stationary Trees and the Balanced Baumgartner-Hajnal-Todorcevic Theorem for Trees

Ari Meir Brodsky

arxiv:1312.4700 v1 · 2013-12-17 · math.LO · 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{65K6GMEG5TZB3P3ZXRNI5R2NL2}

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	2026-05-18T01:36:36.146304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f755e33086ecf21dbf79bc5a8ec74d5ebfaf2127d0e6756629e29d1a60c7f9f4

Aliases

arxiv: 1312.4700 · arxiv_version: 1312.4700v1 · doi: 10.48550/arxiv.1312.4700 · pith_short_12: 65K6GMEG5TZB · pith_short_16: 65K6GMEG5TZB3P3Z · pith_short_8: 65K6GMEG

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/65K6GMEG5TZB3P3ZXRNI5R2NL2 \
  | 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: f755e33086ecf21dbf79bc5a8ec74d5ebfaf2127d0e6756629e29d1a60c7f9f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "891ddb3ec3f21d6100c5c768c6c912c38a44387770d7c924ac5be02e3c57a246",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-12-17T09:57:59Z",
    "title_canon_sha256": "0968f1d528a5df8fb2a100cc80a2c13c545c15355b2add31262b753af8aac17b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4700",
    "kind": "arxiv",
    "version": 1
  }
}