Pith Number

pith:TPMTY4SH

pith:2014:TPMTY4SHVO7VUEASHYZL6XKRSA

not attested not anchored not stored refs pending

Integral identities derived from the complex Funk-Hecke formula

C. P. Oliveira, Jorge Buescu

arxiv:1404.1030 v1 · 2014-04-03 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TPMTY4SHVO7VUEASHYZL6XKRSA}

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	2026-05-18T02:54:54.763385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bd93c7247abbf5a10123e32bf5d51902b42e2d9fad4af237bf6b896f004f58e

Aliases

arxiv: 1404.1030 · arxiv_version: 1404.1030v1 · doi: 10.48550/arxiv.1404.1030 · pith_short_12: TPMTY4SHVO7V · pith_short_16: TPMTY4SHVO7VUEAS · pith_short_8: TPMTY4SH

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/TPMTY4SHVO7VUEASHYZL6XKRSA \
  | 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: 9bd93c7247abbf5a10123e32bf5d51902b42e2d9fad4af237bf6b896f004f58e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bad50d34f17cf2684f8235aeaa997334447824c2120d3ea7bf1d52d780aa841",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-04-03T18:14:39Z",
    "title_canon_sha256": "12eefc24edbb5d69be5e451109fe1d30c305cee1c57c87675e6a1d258f583df0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1030",
    "kind": "arxiv",
    "version": 1
  }
}