Pith Number

pith:EDJGEEZ5

pith:2011:EDJGEEZ5EGQMO7YPZE47CWBTGU

not attested not anchored not stored refs pending

Smooth approximations for fractional and multifractional fields

Georgiy Shevchenko, Kostiantyn Ralchenko

arxiv:1102.3602 v1 · 2011-02-17 · 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{EDJGEEZ5EGQMO7YPZE47CWBTGU}

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	2026-05-18T03:33:50.328752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20d262133d21a0c77f0fc939f158333507a779286f0aeaddbb6cf9a145238e83

Aliases

arxiv: 1102.3602 · arxiv_version: 1102.3602v1 · doi: 10.48550/arxiv.1102.3602 · pith_short_12: EDJGEEZ5EGQM · pith_short_16: EDJGEEZ5EGQMO7YP · pith_short_8: EDJGEEZ5

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/EDJGEEZ5EGQMO7YPZE47CWBTGU \
  | 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: 20d262133d21a0c77f0fc939f158333507a779286f0aeaddbb6cf9a145238e83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1720642740dc76e0d989a8f1dbc4bcee19a216b447619cb86d8a98499a1811b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-02-17T15:13:41Z",
    "title_canon_sha256": "628f85cf638658a7812ef6d2bb4936e475fa99a8f60c3afbee09a707968791c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3602",
    "kind": "arxiv",
    "version": 1
  }
}