Pith Number

pith:BT3GXM4K

pith:2013:BT3GXM4KAG7SLNXDZHGFPQHJOH

not attested not anchored not stored refs pending

The Diamond Integral on Time Scales

Artur M. C. Brito da Cruz, Delfim F. M. Torres, Natalia Martins

arxiv:1306.0988 v1 · 2013-06-05 · 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{BT3GXM4KAG7SLNXDZHGFPQHJOH}

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	2026-05-18T01:33:32.814102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cf66bb38a01bf25b6e3c9cc57c0e971f176b76619a5b4436f09d443899eadbd

Aliases

arxiv: 1306.0988 · arxiv_version: 1306.0988v1 · doi: 10.48550/arxiv.1306.0988 · pith_short_12: BT3GXM4KAG7S · pith_short_16: BT3GXM4KAG7SLNXD · pith_short_8: BT3GXM4K

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/BT3GXM4KAG7SLNXDZHGFPQHJOH \
  | 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: 0cf66bb38a01bf25b6e3c9cc57c0e971f176b76619a5b4436f09d443899eadbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "064fef9ebe235b32fa1ff9c88662512baa0142c465d16ed2a546f6696828dc6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-06-05T05:32:52Z",
    "title_canon_sha256": "3bd01882b7dfc9bb0a54ae9ea724279a028bf593c9a13d99a3b47c3358e1cd8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0988",
    "kind": "arxiv",
    "version": 1
  }
}