Pith Number

pith:CCGHAYLU

pith:2016:CCGHAYLUTGS2AOP7H6ZXTEMYAP

not attested not anchored not stored refs pending

On cardinality bounds involving the weak Lindel\"of degree

Angelo Bella, Nathan Carlson

arxiv:1610.08996 v1 · 2016-10-27 · math.GN

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CCGHAYLUTGS2AOP7H6ZXTEMYAP}

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	2026-05-18T01:00:59.475600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

108c70617499a5a039ff3fb379919803d7f46a2b9a6e4044b87d32f8eb2be128

Aliases

arxiv: 1610.08996 · arxiv_version: 1610.08996v1 · doi: 10.48550/arxiv.1610.08996 · pith_short_12: CCGHAYLUTGS2 · pith_short_16: CCGHAYLUTGS2AOP7 · pith_short_8: CCGHAYLU

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/CCGHAYLUTGS2AOP7H6ZXTEMYAP \
  | 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: 108c70617499a5a039ff3fb379919803d7f46a2b9a6e4044b87d32f8eb2be128

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcaa72647c6d31de5479a9cc92762b39807f3b493422d7f7fdd1db8de1a495a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2016-10-27T20:06:43Z",
    "title_canon_sha256": "b4927b0b3bd673c9749f349837fc646b21c68fb8acb9dc0ae69cdeb8bf61780b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08996",
    "kind": "arxiv",
    "version": 1
  }
}