Pith Number

pith:CIIE42CB

pith:2011:CIIE42CBX4AXOX6L6QFPHHJ7A7

not attested not anchored not stored refs pending

Finite systems of equations and implicit functions

A. V. Krivko-Krasko, P. P. Zabreiko

arxiv:1105.1329 v1 · 2011-05-06 · 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{CIIE42CBX4AXOX6L6QFPHHJ7A7}

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	2026-05-18T04:22:40.679930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12104e6841bf01775fcbf40af39d3f07d6dab685468726017315a5403350683a

Aliases

arxiv: 1105.1329 · arxiv_version: 1105.1329v1 · doi: 10.48550/arxiv.1105.1329 · pith_short_12: CIIE42CBX4AX · pith_short_16: CIIE42CBX4AXOX6L · pith_short_8: CIIE42CB

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/CIIE42CBX4AXOX6L6QFPHHJ7A7 \
  | 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: 12104e6841bf01775fcbf40af39d3f07d6dab685468726017315a5403350683a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0348a6c80365746508d1e0506a0f6d9d4fd0f85538451a1dc05b9fb46963dad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-05-06T17:00:37Z",
    "title_canon_sha256": "5b6b0747e43ba93483b01f736bed7a5de951d68f347f8eea7dd2fd68013b6ad7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1329",
    "kind": "arxiv",
    "version": 1
  }
}