Pith Number

pith:7APQ5FM4

pith:2015:7APQ5FM4A4DC2QU62QGBJSMYKB

not attested not anchored not stored refs pending

Local $C^r$-right equivalence of $C^{r+1}$ functions

Piotr Migus

arxiv:1506.02589 v2 · 2015-06-08 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7APQ5FM4A4DC2QU62QGBJSMYKB}

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	2026-05-18T01:41:45.896074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f81f0e959c07062d429ed40c14c998505f759e4dffe8f9d482e34dcc20ed3d00

Aliases

arxiv: 1506.02589 · arxiv_version: 1506.02589v2 · doi: 10.48550/arxiv.1506.02589 · pith_short_12: 7APQ5FM4A4DC · pith_short_16: 7APQ5FM4A4DC2QU6 · pith_short_8: 7APQ5FM4

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/7APQ5FM4A4DC2QU62QGBJSMYKB \
  | 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: f81f0e959c07062d429ed40c14c998505f759e4dffe8f9d482e34dcc20ed3d00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e672f607ed2ea8f45061380cf04e71c79dcd04024d55b2bc8cf215f332ea6f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-06-08T17:23:29Z",
    "title_canon_sha256": "f5a23a4b3b935eb5c2fd4c3ef7c94f5af01a8569a9034230e3ecf42c9b17296d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02589",
    "kind": "arxiv",
    "version": 2
  }
}