Pith Number

pith:3P2FRKI4

pith:2019:3P2FRKI4BNXQED22S34P25BK62

not attested not anchored not stored refs pending

Superposition, reduction of multivariable problems, and approximation

Feng Tian, Palle Jorgensen

arxiv:1902.02456 v2 · 2019-02-07 · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3P2FRKI4BNXQED22S34P25BK62}

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	2026-05-17T23:51:52.085692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbf458a91c0b6f020f5a96f8fd742af6acb68434e47d1ec737b705b24ea02c3b

Aliases

arxiv: 1902.02456 · arxiv_version: 1902.02456v2 · doi: 10.48550/arxiv.1902.02456 · pith_short_12: 3P2FRKI4BNXQ · pith_short_16: 3P2FRKI4BNXQED22 · pith_short_8: 3P2FRKI4

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/3P2FRKI4BNXQED22S34P25BK62 \
  | 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: dbf458a91c0b6f020f5a96f8fd742af6acb68434e47d1ec737b705b24ea02c3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edabdfa2b43f494b3a71f4f23c340057ccf65fecd3e24f7fcdc666d5553b3f99",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-02-07T03:03:54Z",
    "title_canon_sha256": "6fac9fc1b48b9bdb6748f88a0d2fba543620550f6405bffe2bdc133ab044f92f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.02456",
    "kind": "arxiv",
    "version": 2
  }
}