Pith Number

pith:SSXPPAFH

pith:2011:SSXPPAFH2MMPFN44CM3JQ7Y2UO

not attested not anchored not stored refs pending

Tree indiscernibilities, revisited

Byunghan Kim, Hyeung-Joon Kim, Lynn Scow

arxiv:1111.0915 v4 · 2011-11-03 · 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{SSXPPAFH2MMPFN44CM3JQ7Y2UO}

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	2026-05-18T03:03:57.147887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94aef780a7d318f2b79c1336987f1aa3b7edf935ecb7c04f3e407495b7c90b5a

Aliases

arxiv: 1111.0915 · arxiv_version: 1111.0915v4 · doi: 10.48550/arxiv.1111.0915 · pith_short_12: SSXPPAFH2MMP · pith_short_16: SSXPPAFH2MMPFN44 · pith_short_8: SSXPPAFH

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/SSXPPAFH2MMPFN44CM3JQ7Y2UO \
  | 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: 94aef780a7d318f2b79c1336987f1aa3b7edf935ecb7c04f3e407495b7c90b5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92d24e17e80eee9470a70e3ac9d300ee7560ebfb917078beb804d1feaf96a5aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-11-03T17:07:13Z",
    "title_canon_sha256": "1d25eac4ba9c960bd159f86105d08753536e1aba22f6b1254939fa0fd6cb490c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0915",
    "kind": "arxiv",
    "version": 4
  }
}