Pith Number

pith:7DXJCT4J

pith:2010:7DXJCT4JBFAUGX47MXYOA233MR

not attested not anchored not stored refs pending

Completely almost periodic functionals

Volker Runde

arxiv:1011.4270 v2 · 2010-11-18 · 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{7DXJCT4JBFAUGX47MXYOA233MR}

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	2026-05-18T04:08:13.561486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8ee914f890941435f9f65f0e06b7b64582d98c9c4c067763839385957246b28

Aliases

arxiv: 1011.4270 · arxiv_version: 1011.4270v2 · doi: 10.48550/arxiv.1011.4270 · pith_short_12: 7DXJCT4JBFAU · pith_short_16: 7DXJCT4JBFAUGX47 · pith_short_8: 7DXJCT4J

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/7DXJCT4JBFAUGX47MXYOA233MR \
  | 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: f8ee914f890941435f9f65f0e06b7b64582d98c9c4c067763839385957246b28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "022198af9b40cf9d5a9c45cc340c4d33c41cf478b8e0bbd253f3d970c8c51d7e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-11-18T20:04:40Z",
    "title_canon_sha256": "17ad25c9a3ce684820c71cc431ec3c827621c34c1b5107d7302bac3be8c80323"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4270",
    "kind": "arxiv",
    "version": 2
  }
}