Pith Number

pith:NIXR5WNV

pith:2014:NIXR5WNVZDA7WWTFMIYP2OBDT6

not attested not anchored not stored refs pending

Extended multifractal formalism of some non-doubling measures

Shuang Shen

arxiv:1412.8295 v1 · 2014-12-29 · math.MG · math-ph · math.MP · 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{NIXR5WNVZDA7WWTFMIYP2OBDT6}

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	2026-05-18T02:30:23.563379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a2f1ed9b5c8c1fb5a656230fd38239fa975709d0cb39dc1486cc0318db921b2

Aliases

arxiv: 1412.8295 · arxiv_version: 1412.8295v1 · doi: 10.48550/arxiv.1412.8295 · pith_short_12: NIXR5WNVZDA7 · pith_short_16: NIXR5WNVZDA7WWTF · pith_short_8: NIXR5WNV

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/NIXR5WNVZDA7WWTFMIYP2OBDT6 \
  | 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: 6a2f1ed9b5c8c1fb5a656230fd38239fa975709d0cb39dc1486cc0318db921b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2d4823e30e50c010348f9b510d77457d981ce6016be41ca51356544f8110d61",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-12-29T10:15:21Z",
    "title_canon_sha256": "9685ca51a1ab9d188de57f13ec021028b7c0f1ad717c08cce42b48302e9b2b98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8295",
    "kind": "arxiv",
    "version": 1
  }
}