Pith Number

pith:FW5MRGLT

pith:2014:FW5MRGLTJI6HFWKTWQOUY4RPHZ

not attested not anchored not stored refs pending

Inversion of the star transform

Fan Zhao, John C. Schotland, Vadim A. Markel

arxiv:1401.7655 v2 · 2014-01-29 · math-ph · math.MP · physics.med-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FW5MRGLTJI6HFWKTWQOUY4RPHZ}

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	2026-05-18T02:29:39.131982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dbac899734a3c72d953b41d4c722f3e78ad7fac7071353588a433a1faa822df

Aliases

arxiv: 1401.7655 · arxiv_version: 1401.7655v2 · doi: 10.48550/arxiv.1401.7655 · pith_short_12: FW5MRGLTJI6H · pith_short_16: FW5MRGLTJI6HFWKT · pith_short_8: FW5MRGLT

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/FW5MRGLTJI6HFWKTWQOUY4RPHZ \
  | 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: 2dbac899734a3c72d953b41d4c722f3e78ad7fac7071353588a433a1faa822df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e789c7cb6d680ab581447b30b0bbd30acee12b092c9ededa03faa8fb16c0ed4",
    "cross_cats_sorted": [
      "math.MP",
      "physics.med-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-01-29T20:43:32Z",
    "title_canon_sha256": "a4e10bef1bc996ee6192c4db42a5b13274939c32c7b33113ff097892db296b5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.7655",
    "kind": "arxiv",
    "version": 2
  }
}