Pith Number

pith:ITVWHWXW

pith:2013:ITVWHWXWZFNZWTP6BL4CA5LJVA

not attested not anchored not stored refs pending

Notes on the sin2\Theta\ theorem

Albrecht Seelmann

arxiv:1310.2036 v1 · 2013-10-08 · math.SP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ITVWHWXWZFNZWTP6BL4CA5LJVA}

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	2026-05-18T02:46:32.821698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44eb63daf6c95b9b4dfe0af8207569a802e8c5bca4b242d98c5bce66a49e3079

Aliases

arxiv: 1310.2036 · arxiv_version: 1310.2036v1 · doi: 10.48550/arxiv.1310.2036 · pith_short_12: ITVWHWXWZFNZ · pith_short_16: ITVWHWXWZFNZWTP6 · pith_short_8: ITVWHWXW

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/ITVWHWXWZFNZWTP6BL4CA5LJVA \
  | 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: 44eb63daf6c95b9b4dfe0af8207569a802e8c5bca4b242d98c5bce66a49e3079

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1839de08584df16a3c0c54b864f15c959742170665783b6d804f18069a40a257",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-10-08T08:25:11Z",
    "title_canon_sha256": "a246a5d026573df5b10afbc1b530317de3097c80c5b916bab6f71325286167b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2036",
    "kind": "arxiv",
    "version": 1
  }
}