Pith Number

pith:I2KWNHZE

pith:2014:I2KWNHZESXWL4KROD3XGPQ2EDF

not attested not anchored not stored refs pending

$\alpha$-Molecules

Gitta Kutyniok, Martin Sch\"afer, Philipp Grohs, Sandra Keiper

arxiv:1407.4424 v1 · 2014-07-16 · math.FA · 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{I2KWNHZESXWL4KROD3XGPQ2EDF}

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	2026-05-18T02:47:30.501489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4695669f2495ecbe2a2e1eee67c344195baefd873432acaa7f37b6f40802e97b

Aliases

arxiv: 1407.4424 · arxiv_version: 1407.4424v1 · doi: 10.48550/arxiv.1407.4424 · pith_short_12: I2KWNHZESXWL · pith_short_16: I2KWNHZESXWL4KRO · pith_short_8: I2KWNHZE

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/I2KWNHZESXWL4KROD3XGPQ2EDF \
  | 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: 4695669f2495ecbe2a2e1eee67c344195baefd873432acaa7f37b6f40802e97b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5c6ff1b33d59683d990726c0b857c1ddfc7d1c5d73b51f3b32a1622e50e0f3a",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-07-16T18:52:54Z",
    "title_canon_sha256": "2db813f10d1b07638119f6f0af9b037a1033941db3d462f326c496c28447ef90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4424",
    "kind": "arxiv",
    "version": 1
  }
}