Pith Number

pith:I2ZR7NSA

pith:2014:I2ZR7NSAG7ZTTZ7BQ6E5DAFKQH

not attested not anchored not stored refs pending

New Studies of Randomized Augmentation and Additive Preprocessing

Liang Zhao, Victor Y. Pan

arxiv:1412.5864 v3 · 2014-12-18 · math.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{I2ZR7NSAG7ZTTZ7BQ6E5DAFKQH}

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	2026-05-18T01:19:00.566147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46b31fb64037f339e7e18789d180aa81e53c8653ab2f76ae712a9af730fae279

Aliases

arxiv: 1412.5864 · arxiv_version: 1412.5864v3 · doi: 10.48550/arxiv.1412.5864 · pith_short_12: I2ZR7NSAG7ZT · pith_short_16: I2ZR7NSAG7ZTTZ7B · pith_short_8: I2ZR7NSA

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/I2ZR7NSAG7ZTTZ7BQ6E5DAFKQH \
  | 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: 46b31fb64037f339e7e18789d180aa81e53c8653ab2f76ae712a9af730fae279

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "822bec2a1e735ed049b3c1a1fe7f441e807664f3fc99ed8ce03ac8d52fa54a52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-12-18T14:13:35Z",
    "title_canon_sha256": "5b05d4f2e481fb5d54c124a9e277819f19c729237d3af9cb43640dfe61c30b5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5864",
    "kind": "arxiv",
    "version": 3
  }
}