Pith Number

pith:EQSC7HXF

pith:2014:EQSC7HXFNXCQ3QPR2JXUB33S4G

not attested not anchored not stored refs pending

A function whose graph has positive doubling measure

Tapio Rajala, Tuomo Ojala

arxiv:1406.4693 v1 · 2014-06-18 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EQSC7HXFNXCQ3QPR2JXUB33S4G}

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	2026-05-18T00:54:04.029847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24242f9ee56dc50dc1f1d26f40ef72e1bad827ccb2680fb770f5ed77def46bc8

Aliases

arxiv: 1406.4693 · arxiv_version: 1406.4693v1 · doi: 10.48550/arxiv.1406.4693 · pith_short_12: EQSC7HXFNXCQ · pith_short_16: EQSC7HXFNXCQ3QPR · pith_short_8: EQSC7HXF

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/EQSC7HXFNXCQ3QPR2JXUB33S4G \
  | 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: 24242f9ee56dc50dc1f1d26f40ef72e1bad827ccb2680fb770f5ed77def46bc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee94699464a808795f72dd46774844883050723f55a082c20b6d1095ca5e0a4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-06-18T12:33:09Z",
    "title_canon_sha256": "f983475724519cd0b688eff9b1e50a145da14f1a28c09cfcdbfef4f06dea3f4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.4693",
    "kind": "arxiv",
    "version": 1
  }
}