Pith Number

pith:CZJ3CWS5

pith:2013:CZJ3CWS5TA5EQCAJ2JVYPNF4LD

not attested not anchored not stored refs pending

On Nash approximation of complex analytic sets in Runge domains

Janusz Adamus, Marcin Bilski

arxiv:1307.6851 v2 · 2013-07-25 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CZJ3CWS5TA5EQCAJ2JVYPNF4LD}

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	2026-05-18T00:34:10.778605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1653b15a5d983a480809d26b87b4bc58d0ec8966975fc83219ab64839df7ae56

Aliases

arxiv: 1307.6851 · arxiv_version: 1307.6851v2 · doi: 10.48550/arxiv.1307.6851 · pith_short_12: CZJ3CWS5TA5E · pith_short_16: CZJ3CWS5TA5EQCAJ · pith_short_8: CZJ3CWS5

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/CZJ3CWS5TA5EQCAJ2JVYPNF4LD \
  | 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: 1653b15a5d983a480809d26b87b4bc58d0ec8966975fc83219ab64839df7ae56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b7b38044f0682739350a8dacc1097fd4dc872786a541151e19ca1c7aeedc4c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-07-25T19:45:10Z",
    "title_canon_sha256": "2667efed1973305ff5542d74afabff24ce9d1bb8327270acabec2e301d640ccd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6851",
    "kind": "arxiv",
    "version": 2
  }
}