Pith Number

pith:TRIKYUWX

pith:2018:TRIKYUWX5CJM755KERS4MSIXDE

not attested not anchored not stored refs pending

Hot spots of solutions to the heat equation with inverse square potential

Asato Mukai, Kazuhiro Ishige, Yoshitsugu Kabeya

arxiv:1802.00175 v1 · 2018-02-01 · 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{TRIKYUWX5CJM755KERS4MSIXDE}

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	2026-05-18T00:24:36.616934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c50ac52d7e892cff7aa2465c649171939d05713a37fcf588412d3fd957d6bd5

Aliases

arxiv: 1802.00175 · arxiv_version: 1802.00175v1 · doi: 10.48550/arxiv.1802.00175 · pith_short_12: TRIKYUWX5CJM · pith_short_16: TRIKYUWX5CJM755K · pith_short_8: TRIKYUWX

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/TRIKYUWX5CJM755KERS4MSIXDE \
  | 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: 9c50ac52d7e892cff7aa2465c649171939d05713a37fcf588412d3fd957d6bd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a15a7c052935c05a2d6b908b2a29befc55e3a01262ec748db895210967992d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-02-01T07:19:04Z",
    "title_canon_sha256": "6d8fe133581883d42adcf27a29bd45a81ff3829079b42d5309ca6d23c3495ecb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.00175",
    "kind": "arxiv",
    "version": 1
  }
}