Pith Number

pith:QWOJ4P3J

pith:2012:QWOJ4P3JJ2K76LZ5I45LAV7QUX

not attested not anchored not stored refs pending

Polygonal equalities in Hilbert spaces

Anthony Weston

arxiv:1209.3454 v3 · 2012-09-16 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QWOJ4P3JJ2K76LZ5I45LAV7QUX}

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	2026-05-18T02:42:13.309994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

859c9e3f694e95ff2f3d473ab057f0a5e58e504c57f23a80b65eb4795e57e50a

Aliases

arxiv: 1209.3454 · arxiv_version: 1209.3454v3 · doi: 10.48550/arxiv.1209.3454 · pith_short_12: QWOJ4P3JJ2K7 · pith_short_16: QWOJ4P3JJ2K76LZ5 · pith_short_8: QWOJ4P3J

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/QWOJ4P3JJ2K76LZ5I45LAV7QUX \
  | 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: 859c9e3f694e95ff2f3d473ab057f0a5e58e504c57f23a80b65eb4795e57e50a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e0b4d49bf468a1dce5ec57433e18d4722cd82922934130cec7c3341a15abc82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-09-16T01:32:54Z",
    "title_canon_sha256": "7cdaf1ae34d3496e521c996ead3a820080db65e819f06893d16e33105df46070"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3454",
    "kind": "arxiv",
    "version": 3
  }
}