Pith Number

pith:6E3RTPCL

pith:2018:6E3RTPCL4IVI5BF4MYTCKNLAVF

not attested not anchored not stored refs pending

Heat content estimates for the fractional Schr\"odinger operator $\F+\ind$

Luis Acu\~na Valverde

arxiv:1802.01521 v2 · 2018-02-05 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6E3RTPCL4IVI5BF4MYTCKNLAVF}

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	2026-05-18T00:23:11.419471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f13719bc4be22a8e84bc6626253560a94603faa811cc1a6e54ac359820045dee

Aliases

arxiv: 1802.01521 · arxiv_version: 1802.01521v2 · doi: 10.48550/arxiv.1802.01521 · pith_short_12: 6E3RTPCL4IVI · pith_short_16: 6E3RTPCL4IVI5BF4 · pith_short_8: 6E3RTPCL

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/6E3RTPCL4IVI5BF4MYTCKNLAVF \
  | 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: f13719bc4be22a8e84bc6626253560a94603faa811cc1a6e54ac359820045dee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41178b25691c1d95d52d4864dfb3d757ba1e31ea9b9f296b29759b9f6522911b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-02-05T17:27:39Z",
    "title_canon_sha256": "2554d8e5248406044fd14fec10bb64e5990dcf5cbdcc4c4b784efe8c43db7df7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.01521",
    "kind": "arxiv",
    "version": 2
  }
}