Pith Number

pith:4N4657WN

pith:2012:4N4657WNWWVS2TDVNSMVE7D2MY

not attested not anchored not stored refs pending

Base Tree Property

Bohuslav Balcar, Michael Hru\v{s}\'ak, Michal Doucha

arxiv:1211.3350 v3 · 2012-11-14 · 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{4N4657WNWWVS2TDVNSMVE7D2MY}

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	2026-05-18T03:32:05.134779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e379eefecdb5ab2d4c756c99527c7a663c721460c7a82ffe8c5c9a4670c34295

Aliases

arxiv: 1211.3350 · arxiv_version: 1211.3350v3 · doi: 10.48550/arxiv.1211.3350 · pith_short_12: 4N4657WNWWVS · pith_short_16: 4N4657WNWWVS2TDV · pith_short_8: 4N4657WN

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/4N4657WNWWVS2TDVNSMVE7D2MY \
  | 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: e379eefecdb5ab2d4c756c99527c7a663c721460c7a82ffe8c5c9a4670c34295

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "994e8d813454c856348df4bde132b6a6b08a804b341f740c622896f2cfa403d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-11-14T16:28:09Z",
    "title_canon_sha256": "5548b1c2184fab55fe2dde22ce01346dc4389fed8a2c32e80238f23e4183442f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3350",
    "kind": "arxiv",
    "version": 3
  }
}