Pith Number

pith:ARZAHG7Z

pith:2011:ARZAHG7ZOTX5XP2ZWGIHD7SI5B

not attested not anchored not stored refs pending

Iterative approximations of exponential bases on fractal measures

Deguang Han, Dorin Ervin Dutkay, Eric Weber

arxiv:1109.4669 v2 · 2011-09-21 · 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{ARZAHG7ZOTX5XP2ZWGIHD7SI5B}

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	2026-05-18T04:04:15.114985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0472039bf974efdbbf59b19071fe48e87ce39ce4afd1981d631c66e05f43843a

Aliases

arxiv: 1109.4669 · arxiv_version: 1109.4669v2 · doi: 10.48550/arxiv.1109.4669 · pith_short_12: ARZAHG7ZOTX5 · pith_short_16: ARZAHG7ZOTX5XP2Z · pith_short_8: ARZAHG7Z

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/ARZAHG7ZOTX5XP2ZWGIHD7SI5B \
  | 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: 0472039bf974efdbbf59b19071fe48e87ce39ce4afd1981d631c66e05f43843a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d3da8c4362bee40707e41bb828b334483b418206e8428cbb734196cc8516466",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-09-21T23:09:44Z",
    "title_canon_sha256": "d787b9cd22bc3993d3093a0f1f63aa846ed6cd4a29ffd1a34c73fc3fc56da908"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4669",
    "kind": "arxiv",
    "version": 2
  }
}