Pith Number

pith:VSSYBVXZ

pith:2011:VSSYBVXZ52JKPBGW2JR6LKD2Z7

not attested not anchored not stored refs pending

A more "complete" version of the Pi-theorem: DRAFT

Julian Newman

arxiv:1107.4520 v1 · 2011-07-22 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VSSYBVXZ52JKPBGW2JR6LKD2Z7}

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	2026-05-18T04:17:03.884581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aca580d6f9ee92a784d6d263e5a87acff6e91bf0297c89e7ffb122b8cad15af2

Aliases

arxiv: 1107.4520 · arxiv_version: 1107.4520v1 · doi: 10.48550/arxiv.1107.4520 · pith_short_12: VSSYBVXZ52JK · pith_short_16: VSSYBVXZ52JKPBGW · pith_short_8: VSSYBVXZ

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/VSSYBVXZ52JKPBGW2JR6LKD2Z7 \
  | 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: aca580d6f9ee92a784d6d263e5a87acff6e91bf0297c89e7ffb122b8cad15af2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14dd1681bd7183cfadc62875b4fa94268d5c676acccaaed678a0cea8c63e8c9c",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-07-22T14:06:12Z",
    "title_canon_sha256": "5d16a3d3bfd02a289b230074b6238cab33745d822ed0c7fc68c07a627e005c52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4520",
    "kind": "arxiv",
    "version": 1
  }
}