Pith Number

pith:XYMXFUQW

pith:2015:XYMXFUQWIZ2I2XLS3OMFATWICC

not attested not anchored not stored refs pending

On the second Hankel determinant of concave functions

Rintaro Ohno, Toshiyuki Sugawa

arxiv:1512.03146 v1 · 2015-12-10 · 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{XYMXFUQWIZ2I2XLS3OMFATWICC}

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	2026-05-18T01:24:37.796765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be1972d21646748d5d72db98504ec8109517732471bc8d4cbe80b7fe55aa651c

Aliases

arxiv: 1512.03146 · arxiv_version: 1512.03146v1 · doi: 10.48550/arxiv.1512.03146 · pith_short_12: XYMXFUQWIZ2I · pith_short_16: XYMXFUQWIZ2I2XLS · pith_short_8: XYMXFUQW

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/XYMXFUQWIZ2I2XLS3OMFATWICC \
  | 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: be1972d21646748d5d72db98504ec8109517732471bc8d4cbe80b7fe55aa651c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8579bf66e5f9407183a540d4b7baba49a6ea46a1d28d63aca6aee9eb47343b68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-12-10T06:13:10Z",
    "title_canon_sha256": "b92f7546aa63721a255a8e8473db1915b1b44203c4907a5191837ddff7f7ac2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03146",
    "kind": "arxiv",
    "version": 1
  }
}