Pith Number

pith:ZY7N7OZQ

pith:2012:ZY7N7OZQ5KVD4SPJLZIFOGCW4C

not attested not anchored not stored refs pending

Positions of the ranks of factors in certain finite long length words

Elahe Zohoorian Azad

arxiv:1201.5937 v1 · 2012-01-28 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZY7N7OZQ5KVD4SPJLZIFOGCW4C}

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	2026-05-18T03:57:27.438262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce3edfbb30eaaa3e49e95e50571856e0b8ff684eead1b66016578a172f21dd1a

Aliases

arxiv: 1201.5937 · arxiv_version: 1201.5937v1 · doi: 10.48550/arxiv.1201.5937 · pith_short_12: ZY7N7OZQ5KVD · pith_short_16: ZY7N7OZQ5KVD4SPJ · pith_short_8: ZY7N7OZQ

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/ZY7N7OZQ5KVD4SPJLZIFOGCW4C \
  | 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: ce3edfbb30eaaa3e49e95e50571856e0b8ff684eead1b66016578a172f21dd1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "252072e5ca33af5aa553e0d74c0a3aea52f355898b5fa1fb67f6643e67828883",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-01-28T09:24:55Z",
    "title_canon_sha256": "dc72d37615bf412f235a06574b71e5939ff08382ecb6cc112df3aa4ece8322dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5937",
    "kind": "arxiv",
    "version": 1
  }
}