Pith Number

pith:TQJBLT2L

pith:2015:TQJBLT2L6NRC4E4H765DTDAWCB

not attested not anchored not stored refs pending

On Ratio Monotonicity of a New Kind of Numbers Conjectured by Z.-W. Sun

Brian Y. Sun

arxiv:1512.01008 v1 · 2015-12-03 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TQJBLT2L6NRC4E4H765DTDAWCB}

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	2026-05-18T01:25:23.621431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c1215cf4bf3622e1387ffba398c1610414a889e3ff0df18519ce30605a05cc8

Aliases

arxiv: 1512.01008 · arxiv_version: 1512.01008v1 · doi: 10.48550/arxiv.1512.01008 · pith_short_12: TQJBLT2L6NRC · pith_short_16: TQJBLT2L6NRC4E4H · pith_short_8: TQJBLT2L

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/TQJBLT2L6NRC4E4H765DTDAWCB \
  | 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: 9c1215cf4bf3622e1387ffba398c1610414a889e3ff0df18519ce30605a05cc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dba7afd842a48b252f59a95b80e707913e9f2d4544a51c0fb3bdf7f3efc41084",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-03T09:32:22Z",
    "title_canon_sha256": "31021ef5d621e7e00360bb7d7406f8fbd4234a88b14b556b3d41177582d9ea42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01008",
    "kind": "arxiv",
    "version": 1
  }
}