Pith Number

pith:G7XH6WDH

pith:2015:G7XH6WDH6I65LW5F3U6GCQHZAK

not attested not anchored not stored refs pending

Non-meager free sets and independent families

Andrea Medini, Du\v{s}an Repov\v{s}, Lyubomyr Zdomskyy

arxiv:1508.00124 v2 · 2015-08-01 · math.GN · 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{G7XH6WDH6I65LW5F3U6GCQHZAK}

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	2026-05-18T00:42:07.902739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37ee7f5867f23dd5dba5dd3c6140f902b06e21f90d6b960d6d8282bcc0ecd7ba

Aliases

arxiv: 1508.00124 · arxiv_version: 1508.00124v2 · doi: 10.48550/arxiv.1508.00124 · pith_short_12: G7XH6WDH6I65 · pith_short_16: G7XH6WDH6I65LW5F · pith_short_8: G7XH6WDH

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/G7XH6WDH6I65LW5F3U6GCQHZAK \
  | 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: 37ee7f5867f23dd5dba5dd3c6140f902b06e21f90d6b960d6d8282bcc0ecd7ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9ea339f044a3e860819de27c03369d6ba2f9c5faec50fbc692869bc13a7dda4",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2015-08-01T13:50:19Z",
    "title_canon_sha256": "565b200f7099e0b900b8fcd922efcee98f27a3f70d911ffc977e5c135a17bed6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00124",
    "kind": "arxiv",
    "version": 2
  }
}