Pith Number

pith:BIV3T3IL

pith:2017:BIV3T3IL3YM2SAFOPKM7KSDS64

not attested not anchored not stored refs pending

Absolute continuity and $\alpha$-numbers on the real line

Tuomas Orponen

arxiv:1703.02935 v3 · 2017-03-08 · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BIV3T3IL3YM2SAFOPKM7KSDS64}

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	2026-05-18T00:02:02.272132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a2bb9ed0bde19a900ae7a99f54872f72620f0fde8105e9dd2143a2a3b2bb6a9

Aliases

arxiv: 1703.02935 · arxiv_version: 1703.02935v3 · doi: 10.48550/arxiv.1703.02935 · pith_short_12: BIV3T3IL3YM2 · pith_short_16: BIV3T3IL3YM2SAFO · pith_short_8: BIV3T3IL

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/BIV3T3IL3YM2SAFOPKM7KSDS64 \
  | 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: 0a2bb9ed0bde19a900ae7a99f54872f72620f0fde8105e9dd2143a2a3b2bb6a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1536571a1de4b622eddf34a12eae033ec274cd52cd4865049f612c3634e715c",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-03-08T17:46:49Z",
    "title_canon_sha256": "6652cbc5b9078bcf9ea5bc28844ff87e4417602a77fc652c28f20a2030a24355"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.02935",
    "kind": "arxiv",
    "version": 3
  }
}