Pith Number

pith:VE6VVXKG

pith:2015:VE6VVXKG7BH4B6KKPTU6C6LIZB

not attested not anchored not stored refs pending

Cardinal characteristics at {\kappa} in a small u(\kappa) model

A. D. Brooke-Taylor, D. C. Montoya, S. D. Friedman, V. Fischer

arxiv:1511.02687 v1 · 2015-11-09 · 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{VE6VVXKG7BH4B6KKPTU6C6LIZB}

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	2026-05-18T01:27:29.621242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a93d5add46f84fc0f94a7ce9e17968c8715cfdce39ba353782485a523de89ae8

Aliases

arxiv: 1511.02687 · arxiv_version: 1511.02687v1 · doi: 10.48550/arxiv.1511.02687 · pith_short_12: VE6VVXKG7BH4 · pith_short_16: VE6VVXKG7BH4B6KK · pith_short_8: VE6VVXKG

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/VE6VVXKG7BH4B6KKPTU6C6LIZB \
  | 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: a93d5add46f84fc0f94a7ce9e17968c8715cfdce39ba353782485a523de89ae8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef475378b073af6c7eeb7a7812172f007183adbad432bb4885d8592ac8adc3bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-11-09T14:14:22Z",
    "title_canon_sha256": "d4f6ab7397382bca463121d08126680dd32a0ba6cf39c8f5c0f81b4bb74d39cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02687",
    "kind": "arxiv",
    "version": 1
  }
}