Pith Number

pith:JG7R2SPR

pith:2017:JG7R2SPRZ43B6XDD6P5E33SPPK

not attested not anchored not stored refs pending

Algorithms Based on Unions of Nonexpansive Maps

Matthew K. Tam

arxiv:1710.08227 v2 · 2017-10-23 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JG7R2SPRZ43B6XDD6P5E33SPPK}

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	2026-05-18T00:08:27.220658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49bf1d49f1cf361f5c63f3fa4dee4f7aa77fb313fe95fd15283c0669ed789eef

Aliases

arxiv: 1710.08227 · arxiv_version: 1710.08227v2 · doi: 10.48550/arxiv.1710.08227 · pith_short_12: JG7R2SPRZ43B · pith_short_16: JG7R2SPRZ43B6XDD · pith_short_8: JG7R2SPR

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/JG7R2SPRZ43B6XDD6P5E33SPPK \
  | 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: 49bf1d49f1cf361f5c63f3fa4dee4f7aa77fb313fe95fd15283c0669ed789eef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06b734adb8b649bb9ae3623f6e88efbdf2c5c086d47f31f39999d9267b627da4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-10-23T12:14:21Z",
    "title_canon_sha256": "030c05cdec3dfab2937b68c83534599343f0f376deab4e8a1d76afb29fa24b25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.08227",
    "kind": "arxiv",
    "version": 2
  }
}