Pith Number

pith:MOHVWKLF

pith:2016:MOHVWKLFE36Z3JZ4U3NZZHTFHF

not attested not anchored not stored refs pending

The monotonicity of an entropy like energy for the heat equation on a quaternionic contact and CR manifolds

Dimiter Vassilev

arxiv:1608.02545 v2 · 2016-08-08 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MOHVWKLFE36Z3JZ4U3NZZHTFHF}

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	2026-05-18T00:42:32.608125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

638f5b296526fd9da73ca6db9c9e653975f42d9e0abaf3c388cef2c516125070

Aliases

arxiv: 1608.02545 · arxiv_version: 1608.02545v2 · doi: 10.48550/arxiv.1608.02545 · pith_short_12: MOHVWKLFE36Z · pith_short_16: MOHVWKLFE36Z3JZ4 · pith_short_8: MOHVWKLF

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/MOHVWKLFE36Z3JZ4U3NZZHTFHF \
  | 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: 638f5b296526fd9da73ca6db9c9e653975f42d9e0abaf3c388cef2c516125070

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26c4430f6ccaea95d5524ef141af05ab86d4c2624b26f5a80f4aebcf6a1ca054",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-08-08T18:29:50Z",
    "title_canon_sha256": "df64e6ce84c1771361f5cf8e16858c586ebd9af99b60069ffbacc4e73937cbc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02545",
    "kind": "arxiv",
    "version": 2
  }
}