Pith Number

pith:7UFDYO6A

pith:2019:7UFDYO6A46H7AM6KFZFNFGLDBH

not attested not anchored not stored refs pending

Effective certification of approximate solutions to systems of equations involving analytic functions

Anton Leykin, Kisun Lee, Michael Burr

arxiv:1901.10384 v2 · 2019-01-24 · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7UFDYO6A46H7AM6KFZFNFGLDBH}

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	2026-05-17T23:40:11.305145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd0a3c3bc0e78ff033ca2e4ad2996309c6217d2e90302dbec64f4ba8bed2fc58

Aliases

arxiv: 1901.10384 · arxiv_version: 1901.10384v2 · doi: 10.48550/arxiv.1901.10384 · pith_short_12: 7UFDYO6A46H7 · pith_short_16: 7UFDYO6A46H7AM6K · pith_short_8: 7UFDYO6A

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/7UFDYO6A46H7AM6KFZFNFGLDBH \
  | 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: fd0a3c3bc0e78ff033ca2e4ad2996309c6217d2e90302dbec64f4ba8bed2fc58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58d27e6c2ef4fed90941eef0f6d28f8f7cf40a8ed422a08bc90cb70c0ccf063d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2019-01-24T21:26:36Z",
    "title_canon_sha256": "c3fc384ec5076ceebadb024b7936b245b3516f4e344730648090826893a69c85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.10384",
    "kind": "arxiv",
    "version": 2
  }
}