Pith Number

pith:US5UB5YO

pith:2011:US5UB5YOVUCFR7OGCGMAU5SJJP

not attested not anchored not stored refs pending

Local Uniqueness of the Circular Integral Invariant

Markus Grasmair, Martin Bauer, Thomas Fidler

arxiv:1107.4257 v3 · 2011-07-21 · math.NA · 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{US5UB5YOVUCFR7OGCGMAU5SJJP}

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	2026-05-18T03:46:18.634090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4bb40f70ead0458fdc611980a76494bd77ef53291d43660a518cc1829e442fd

Aliases

arxiv: 1107.4257 · arxiv_version: 1107.4257v3 · doi: 10.48550/arxiv.1107.4257 · pith_short_12: US5UB5YOVUCF · pith_short_16: US5UB5YOVUCFR7OG · pith_short_8: US5UB5YO

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/US5UB5YOVUCFR7OGCGMAU5SJJP \
  | 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: a4bb40f70ead0458fdc611980a76494bd77ef53291d43660a518cc1829e442fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fa4d54f1a1dda126f945c64950ba1931815504ac02d0588b5c7a9a7d2f16e96",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-07-21T12:48:38Z",
    "title_canon_sha256": "1bb8ac85de5f62d7b971b9055eab1ceb13998da09f2c277eb6d3026b12fd09f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4257",
    "kind": "arxiv",
    "version": 3
  }
}