Pith Number

pith:WIWHTXEW

pith:2012:WIWHTXEWVPMBZ6GSMMHPRHV7UM

not attested not anchored not stored refs pending

Frames adapted to a phase-space cover

Jos\'e Luis Romero, Monika D\"orfler

arxiv:1207.5383 v2 · 2012-07-23 · 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{WIWHTXEWVPMBZ6GSMMHPRHV7UM}

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	2026-05-18T02:18:01.834163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b22c79dc96abd81cf8d2630ef89ebfa30383f57f759d89f7e7742f9cb27d0f23

Aliases

arxiv: 1207.5383 · arxiv_version: 1207.5383v2 · doi: 10.48550/arxiv.1207.5383 · pith_short_12: WIWHTXEWVPMB · pith_short_16: WIWHTXEWVPMBZ6GS · pith_short_8: WIWHTXEW

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/WIWHTXEWVPMBZ6GSMMHPRHV7UM \
  | 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: b22c79dc96abd81cf8d2630ef89ebfa30383f57f759d89f7e7742f9cb27d0f23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "163bb524f46026dd5b35ae2ee1e6fb31d3f1034f05ea9f608e3ade30e52392d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-07-23T13:12:54Z",
    "title_canon_sha256": "5d9f53ec02ee4bbb946d3ec62d52d80c03951e442a14da28ec071e6c37fd1f0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5383",
    "kind": "arxiv",
    "version": 2
  }
}