Pith Number

pith:HI4MIIYZ

pith:2016:HI4MIIYZM2JT4PK544FM4SYCOG

not attested not anchored not stored refs pending

Lower consistency bounds for mutual stationarity with divergent uncountable cofinalities

Dominik Adolf, Philip Welch, Sean Cox

arxiv:1607.04790 v1 · 2016-07-16 · 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{HI4MIIYZM2JT4PK544FM4SYCOG}

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	2026-05-18T01:10:56.634080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a38c4231966933e3d5de70ace4b0271884461d11e15229ea885662382cb4d61

Aliases

arxiv: 1607.04790 · arxiv_version: 1607.04790v1 · doi: 10.48550/arxiv.1607.04790 · pith_short_12: HI4MIIYZM2JT · pith_short_16: HI4MIIYZM2JT4PK5 · pith_short_8: HI4MIIYZ

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/HI4MIIYZM2JT4PK544FM4SYCOG \
  | 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: 3a38c4231966933e3d5de70ace4b0271884461d11e15229ea885662382cb4d61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5034f51d29c658194963acbd3add7d9cc9f66e1950043c91e69d462b77bb20b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-07-16T18:59:39Z",
    "title_canon_sha256": "1d706e323a0481f9b231e78984ddbc3979062bec6d5fafc45dc08862c11f86ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04790",
    "kind": "arxiv",
    "version": 1
  }
}