Pith Number

pith:DFMHBR6G

pith:2015:DFMHBR6GKWVMBZSWDQH7B3OMPD

not attested not anchored not stored refs pending

Complexity of Substitutive Sequences - Calculation of the Complexities of Substitutive Sequences Over a Binary Alphabet

Bo Tan, Yiping Zhang, Zhi-xiong Wen

arxiv:1507.03058 v1 · 2015-07-11 · math.CO · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DFMHBR6GKWVMBZSWDQH7B3OMPD}

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	2026-05-18T01:36:49.434722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

195870c7c655aac0e6561c0ff0edcc78cdf79e6eb08164869e7d375770937d77

Aliases

arxiv: 1507.03058 · arxiv_version: 1507.03058v1 · doi: 10.48550/arxiv.1507.03058 · pith_short_12: DFMHBR6GKWVM · pith_short_16: DFMHBR6GKWVMBZSW · pith_short_8: DFMHBR6G

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/DFMHBR6GKWVMBZSWDQH7B3OMPD \
  | 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: 195870c7c655aac0e6561c0ff0edcc78cdf79e6eb08164869e7d375770937d77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7062640d5b2b1fa5ebacb8c7a7947bdddc7c2c09f0d7dba373fab020eaebade5",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-11T02:35:29Z",
    "title_canon_sha256": "07c368287b69e7a36de311ed849ec4f8499ec208f87da06b1bf91048ca29db3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03058",
    "kind": "arxiv",
    "version": 1
  }
}