Pith Number

pith:2ENV35TB

pith:2017:2ENV35TBPGKYMCIG2SVVEHPQBJ

not attested not anchored not stored refs pending

A Proof of the Herschel-Maxwell Theorem Using the Strong Law of Large Numbers

Somabha Mukherjee

arxiv:1701.02228 v1 · 2017-01-03 · 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{2ENV35TBPGKYMCIG2SVVEHPQBJ}

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	2026-05-18T00:53:11.380086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d11b5df6617995860906d4ab521df00a4e38813a9b87c2a6026c9d5a45ced32a

Aliases

arxiv: 1701.02228 · arxiv_version: 1701.02228v1 · doi: 10.48550/arxiv.1701.02228 · pith_short_12: 2ENV35TBPGKY · pith_short_16: 2ENV35TBPGKYMCIG · pith_short_8: 2ENV35TB

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/2ENV35TBPGKYMCIG2SVVEHPQBJ \
  | 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: d11b5df6617995860906d4ab521df00a4e38813a9b87c2a6026c9d5a45ced32a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef5e853e3c2336f673fff1e4eae29e17e11a9a4846beeec971bc2383a5e7989b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-01-03T14:07:43Z",
    "title_canon_sha256": "8e77ff967ea663b7d909280be37977dfb8ac363c6ae8dee7b87004b76f677e9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02228",
    "kind": "arxiv",
    "version": 1
  }
}