Pith Number

pith:SE4H3I6U

pith:2015:SE4H3I6U2HHGL66GHE5TBTSPWA

not attested not anchored not stored refs pending

Class-closing factor codes and constant-class-to-one factor codes from shifts of finite type

Mahsa Allahbakhshi, Soonjo Hong, Uijin Jung

arxiv:1501.02384 v2 · 2015-01-10 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SE4H3I6U2HHGL66GHE5TBTSPWA}

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	2026-05-18T02:28:22.467282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91387da3d4d1ce65fbc6393b30ce4fb02495926c8877ec58a8a80bbba0e51991

Aliases

arxiv: 1501.02384 · arxiv_version: 1501.02384v2 · doi: 10.48550/arxiv.1501.02384 · pith_short_12: SE4H3I6U2HHG · pith_short_16: SE4H3I6U2HHGL66G · pith_short_8: SE4H3I6U

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/SE4H3I6U2HHGL66GHE5TBTSPWA \
  | 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: 91387da3d4d1ce65fbc6393b30ce4fb02495926c8877ec58a8a80bbba0e51991

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb6da3175ff107089acae85f71c7c7cf5e1994a6982723188021ef81573aa73d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-01-10T19:03:07Z",
    "title_canon_sha256": "9ed16b37c672ea4bee4c9df7e54eea28ef562b2cc1700843be9638dff5a24edb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02384",
    "kind": "arxiv",
    "version": 2
  }
}