Pith Number

pith:G7O7RWTM

pith:2018:G7O7RWTMTYXB4SIOFNSYDV5GYU

not attested not anchored not stored refs pending

On the entropy of coverable subshifts

Guilhem Gamard

arxiv:1812.08022 v1 · 2018-12-19 · cs.DM · 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{G7O7RWTMTYXB4SIOFNSYDV5GYU}

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	2026-05-17T23:57:55.153003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37ddf8da6c9e2e1e490e2b6581d7a6c510f9e7e8712c9536a4558a6d3789cf23

Aliases

arxiv: 1812.08022 · arxiv_version: 1812.08022v1 · doi: 10.48550/arxiv.1812.08022 · pith_short_12: G7O7RWTMTYXB · pith_short_16: G7O7RWTMTYXB4SIO · pith_short_8: G7O7RWTM

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/G7O7RWTMTYXB4SIOFNSYDV5GYU \
  | 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: 37ddf8da6c9e2e1e490e2b6581d7a6c510f9e7e8712c9536a4558a6d3789cf23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88e8c8fdde22ffa45f83a0f9f06cd8120ecf3183440fbd09aa19e5790615ddd7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-12-19T15:30:48Z",
    "title_canon_sha256": "d4a247bd236abf161631b4e92088cbca4a79fe60f7f719776d91138c6edf0b64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08022",
    "kind": "arxiv",
    "version": 1
  }
}