Pith Number

pith:6WTAX636

pith:2016:6WTAX636FCKAWC2DQTURYMVFXF

not attested not anchored not stored refs pending

Pixel matrices: An elementary technique for solving nonlinear systems

David I. Spivak

arxiv:1605.00190 v3 · 2016-05-01 · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6WTAX636FCKAWC2DQTURYMVFXF}

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	2026-05-18T00:28:41.349257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5a60bfb7e28940b0b4384e91c32a5b970c63ad7d2da295c4aaa124827fe739a

Aliases

arxiv: 1605.00190 · arxiv_version: 1605.00190v3 · doi: 10.48550/arxiv.1605.00190 · pith_short_12: 6WTAX636FCKA · pith_short_16: 6WTAX636FCKAWC2D · pith_short_8: 6WTAX636

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/6WTAX636FCKAWC2DQTURYMVFXF \
  | 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: f5a60bfb7e28940b0b4384e91c32a5b970c63ad7d2da295c4aaa124827fe739a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "498ec2de02ffb38f69660202dc4f9c5f616e9042f48298401013871153a14aaf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2016-05-01T00:39:38Z",
    "title_canon_sha256": "c63f98d2eaac8930cb1775bcb8d7c13f8fb8ca68a0606b6557bd71cd960ad76c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00190",
    "kind": "arxiv",
    "version": 3
  }
}