Pith Number

pith:4PMATS2X

pith:2021:4PMATS2XXTID45STMWE53HPK63

not attested not anchored not stored refs pending

On the inverse hull of a Markov shift

Anthony Dickson, Aria Beaupr\'e, Christin Sum, David Milan

arxiv:2102.13612 v1 · 2021-02-26 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4PMATS2XXTID45STMWE53HPK63}

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	2026-07-05T02:18:46.538080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3d809cb57bcd03e76536589dd9deaf6d8d6b09fdfab85660d8726b9aab2c64e

Aliases

arxiv: 2102.13612 · arxiv_version: 2102.13612v1 · doi: 10.48550/arxiv.2102.13612 · pith_short_12: 4PMATS2XXTID · pith_short_16: 4PMATS2XXTID45ST · pith_short_8: 4PMATS2X

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/4PMATS2XXTID45STMWE53HPK63 \
  | 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: e3d809cb57bcd03e76536589dd9deaf6d8d6b09fdfab85660d8726b9aab2c64e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6c4b5bbf2dd9f01ac4fe94461b8fb225bc2d7ff261e00def4eb285d8d506fd4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2021-02-26T17:30:16Z",
    "title_canon_sha256": "2a72c7c2db52dc11ed23b409c99d70354018b370c31c5c91df825f24a0da06f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.13612",
    "kind": "arxiv",
    "version": 1
  }
}