Pith Number

pith:QYQ2VSES

pith:2012:QYQ2VSESQ3GXXWY37KJJGNQ3TC

not attested not anchored not stored refs pending

Asymptotic ideals (ideals in the ring of Colombeau generalized constants with continuous parametrization)

Anatole Khelif, Dimitris Scarpalezos, Hans Vernaeve

arxiv:1210.5634 v1 · 2012-10-20 · math.RA · 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{QYQ2VSESQ3GXXWY37KJJGNQ3TC}

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	2026-05-18T02:55:18.670193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8621aac89286cd7bdb1bfa9293361b98a28e1f5acc2405b30ee678a35ac502c7

Aliases

arxiv: 1210.5634 · arxiv_version: 1210.5634v1 · doi: 10.48550/arxiv.1210.5634 · pith_short_12: QYQ2VSESQ3GX · pith_short_16: QYQ2VSESQ3GXXWY3 · pith_short_8: QYQ2VSES

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/QYQ2VSESQ3GXXWY37KJJGNQ3TC \
  | 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: 8621aac89286cd7bdb1bfa9293361b98a28e1f5acc2405b30ee678a35ac502c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c30385856dd332de151dec6661891d267af8eba7995b973aafb97d70d637571",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-10-20T15:01:54Z",
    "title_canon_sha256": "7ff6deeda245638b76d75b51d017744a83b867b4578d1191ac3e2e1d5260716f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5634",
    "kind": "arxiv",
    "version": 1
  }
}