Pith Number

pith:M5HNRGIS

pith:2016:M5HNRGISTXUFKMPWOBN3IAGPMC

not attested not anchored not stored refs pending

Logarithmic convexity of fixed points of stochastic kernel operators

Aljo\v{s}a Peperko

arxiv:1612.01763 v1 · 2016-12-06 · math.SP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M5HNRGISTXUFKMPWOBN3IAGPMC}

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	2026-05-18T00:55:47.648344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

674ed899129de85531f6705bb400cf60a880633bf524517d53af1764b12f19bd

Aliases

arxiv: 1612.01763 · arxiv_version: 1612.01763v1 · doi: 10.48550/arxiv.1612.01763 · pith_short_12: M5HNRGISTXUF · pith_short_16: M5HNRGISTXUFKMPW · pith_short_8: M5HNRGIS

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/M5HNRGISTXUFKMPWOBN3IAGPMC \
  | 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: 674ed899129de85531f6705bb400cf60a880633bf524517d53af1764b12f19bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7540f33f41eda2125b89106729087f425165bdea85fa66f165ea004de95d5e7d",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-12-06T11:33:23Z",
    "title_canon_sha256": "fe40860d349cc00b23ab10dc2ea80f5d2ea22ca967e31fba361ae5f57f63b48e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01763",
    "kind": "arxiv",
    "version": 1
  }
}