Pith Number

pith:TBGUJW3U

pith:2015:TBGUJW3U56ETLVW5ASLCJ56KC5

not attested not anchored not stored refs pending

Positivity and Fourier integrals over regular hexagon

Yuan Xu

arxiv:1508.07615 v1 · 2015-08-30 · 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{TBGUJW3U56ETLVW5ASLCJ56KC5}

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	2026-05-18T01:34:31.845956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

984d44db74ef8935d6dd049624f7ca17767a30108ec454986498fe7f416e10d2

Aliases

arxiv: 1508.07615 · arxiv_version: 1508.07615v1 · doi: 10.48550/arxiv.1508.07615 · pith_short_12: TBGUJW3U56ET · pith_short_16: TBGUJW3U56ETLVW5 · pith_short_8: TBGUJW3U

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/TBGUJW3U56ETLVW5ASLCJ56KC5 \
  | 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: 984d44db74ef8935d6dd049624f7ca17767a30108ec454986498fe7f416e10d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c045bf36f6973cfe834e36a95fb6bdf02f3fb26a0f069b039bbb31cc92acc05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-08-30T18:48:21Z",
    "title_canon_sha256": "6526cdf4508660c26f15e0d7cf409a850cd768f619d0d26162aa017751885c07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07615",
    "kind": "arxiv",
    "version": 1
  }
}