Pith Number

pith:PFCJPNXZ

pith:2013:PFCJPNXZJIOH4MWRKKZPYQYH67

not attested not anchored not stored refs pending

Approximation on Nash sets with monomial singularities

El\'ias Baro, Jes\'us M. Ruiz, Jos\'e F. Fernando

arxiv:1307.0724 v1 · 2013-07-02 · 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{PFCJPNXZJIOH4MWRKKZPYQYH67}

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	2026-05-18T03:19:24.769738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

794497b6f94a1c7e32d152b2fc4307f7f5d9aeadd10f1e9a26a6e300f35769d9

Aliases

arxiv: 1307.0724 · arxiv_version: 1307.0724v1 · doi: 10.48550/arxiv.1307.0724 · pith_short_12: PFCJPNXZJIOH · pith_short_16: PFCJPNXZJIOH4MWR · pith_short_8: PFCJPNXZ

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/PFCJPNXZJIOH4MWRKKZPYQYH67 \
  | 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: 794497b6f94a1c7e32d152b2fc4307f7f5d9aeadd10f1e9a26a6e300f35769d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2413d32298640db9cff950b1b450b263c5bde65343f76cabd2fda30621c1009c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-02T15:13:19Z",
    "title_canon_sha256": "5bdd4e87d98d7c7b4caa04664957cc2ae4a55f865d6f7c2693e45ae4c6c61725"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0724",
    "kind": "arxiv",
    "version": 1
  }
}