Pith Number

pith:HRNG7BUB

pith:2013:HRNG7BUBFWI2SJNEEZ5T5DS3UG

not attested not anchored not stored refs pending

Geometric convexity of the generalized sine and the generalized hyperbolic sine

Feng Qi, Wei-Dong Jiang

arxiv:1301.3264 v1 · 2013-01-15 · 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{HRNG7BUBFWI2SJNEEZ5T5DS3UG}

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	2026-05-18T02:52:32.515537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c5a6f86812d91a925a4267b3e8e5ba195a999b2e26f2928d70df09ac76b6f8f

Aliases

arxiv: 1301.3264 · arxiv_version: 1301.3264v1 · doi: 10.48550/arxiv.1301.3264 · pith_short_12: HRNG7BUBFWI2 · pith_short_16: HRNG7BUBFWI2SJNE · pith_short_8: HRNG7BUB

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/HRNG7BUBFWI2SJNEEZ5T5DS3UG \
  | 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: 3c5a6f86812d91a925a4267b3e8e5ba195a999b2e26f2928d70df09ac76b6f8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f68a679015f4de079c4e41613ab9d749b35c63adfd6312e0c62f435a81808e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-01-15T08:43:12Z",
    "title_canon_sha256": "cbafcc2710ad02d5f72bf83203ff8190e1d730b14591cb673b6cf2bcbf54bd2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3264",
    "kind": "arxiv",
    "version": 1
  }
}