Pith Number

pith:M3TS4MSL

pith:2016:M3TS4MSL7FQUKCG3AQ5MJ6VFYF

not attested not anchored not stored refs pending

Selective game versions of countable tightness with bounded finite selections

Angelo Bella, Leandro F. Aurichi, Rodrigo R. Dias

arxiv:1603.09715 v1 · 2016-03-31 · math.GN · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M3TS4MSL7FQUKCG3AQ5MJ6VFYF}

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	2026-05-18T01:17:57.846916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66e72e324bf9614508db043ac4faa5c159b53135b0c5197fd7cf81a6f995193e

Aliases

arxiv: 1603.09715 · arxiv_version: 1603.09715v1 · doi: 10.48550/arxiv.1603.09715 · pith_short_12: M3TS4MSL7FQU · pith_short_16: M3TS4MSL7FQUKCG3 · pith_short_8: M3TS4MSL

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/M3TS4MSL7FQUKCG3AQ5MJ6VFYF \
  | 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: 66e72e324bf9614508db043ac4faa5c159b53135b0c5197fd7cf81a6f995193e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c2beb9c9185555fb3825eb3725cc0fd98b7a7ed976de75a0757c2d0a2c0a86d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2016-03-31T18:50:22Z",
    "title_canon_sha256": "e4d71763d6eb90e130fa7f5e0bcd26961a2b7531dc86e6850c732e57a3a8d3e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09715",
    "kind": "arxiv",
    "version": 1
  }
}