Pith Number

pith:WRWJNMA5

pith:2015:WRWJNMA5MDW5CJSBHTO7VVQRH3

not attested not anchored not stored refs pending

Uniqueness of p(f) and P[f]

Banarsi Lal, Kuldeep Singh Charak

arxiv:1501.05092 v2 · 2015-01-21 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WRWJNMA5MDW5CJSBHTO7VVQRH3}

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	2026-05-18T02:27:43.857180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b46c96b01d60edd126413cddfad6113ed458b7258c9e29808286e475803d89cd

Aliases

arxiv: 1501.05092 · arxiv_version: 1501.05092v2 · doi: 10.48550/arxiv.1501.05092 · pith_short_12: WRWJNMA5MDW5 · pith_short_16: WRWJNMA5MDW5CJSB · pith_short_8: WRWJNMA5

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/WRWJNMA5MDW5CJSBHTO7VVQRH3 \
  | 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: b46c96b01d60edd126413cddfad6113ed458b7258c9e29808286e475803d89cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dff704cdd319d5f226f1ff8929b1e98f66127c2eec069e5c45c4b2eb8dcaa663",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-01-21T08:35:58Z",
    "title_canon_sha256": "082b93143b88061d7c5bd2a6d6edc59e97d836c6d4dbea2d381614a03a589dc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05092",
    "kind": "arxiv",
    "version": 2
  }
}