Pith Number

pith:MBWIPNWE

pith:2012:MBWIPNWEZMF2HJCUU53FAMAAF6

not attested not anchored not stored refs pending

On the equivalence between Stein and de Bruijn identities

Erchin Serpedin, Khalid Qaraqe, Sangwoo Park

arxiv:1202.0015 v4 · 2012-01-31 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MBWIPNWEZMF2HJCUU53FAMAAF6}

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	2026-05-18T03:50:25.499396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

606c87b6c4cb0ba3a454a7765030002fbab4d0fb3fd5361767aaf20218a995d6

Aliases

arxiv: 1202.0015 · arxiv_version: 1202.0015v4 · doi: 10.48550/arxiv.1202.0015 · pith_short_12: MBWIPNWEZMF2 · pith_short_16: MBWIPNWEZMF2HJCU · pith_short_8: MBWIPNWE

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/MBWIPNWEZMF2HJCUU53FAMAAF6 \
  | 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: 606c87b6c4cb0ba3a454a7765030002fbab4d0fb3fd5361767aaf20218a995d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd431f6ab07600cfb08c9e0116273450e614e4b3836cd09ba4231786de3b64a7",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-01-31T21:01:28Z",
    "title_canon_sha256": "951aacfaaa1bfda0c6e794380d70bbb4584b5484ba755db648862ada955bb395"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0015",
    "kind": "arxiv",
    "version": 4
  }
}