Pith Number

pith:HI2OS35M

pith:2001:HI2OS35MGAMMCKLKUVKCPBRE2E

not attested not anchored not stored refs pending

Laplace and Schr\"odinger operators on regular metric trees: the discrete spectrum case

Michael Solomyak

arxiv:math/0111023 v1 · 2001-11-02 · math.SP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HI2OS35MGAMMCKLKUVKCPBRE2E}

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.

Cited by

1 paper in Pith

Extinction and propagation phenomena for semilinear parabolic equations on metric trees

Receipt and verification

First computed	2026-07-04T14:35:36.284900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a34e96fac3018c1296aa554278624d103f871b4de52c5539aa05d30178942e3

Aliases

arxiv: math/0111023 · arxiv_version: math/0111023v1 · doi: 10.48550/arxiv.math/0111023 · pith_short_12: HI2OS35MGAMM · pith_short_16: HI2OS35MGAMMCKLK · pith_short_8: HI2OS35M

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/HI2OS35MGAMMCKLKUVKCPBRE2E \
  | 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: 3a34e96fac3018c1296aa554278624d103f871b4de52c5539aa05d30178942e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d74bee5c449dffb78775ca730aa86fdf8435d7e89478eac2d107423ee62141f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.SP",
    "submitted_at": "2001-11-02T12:04:01Z",
    "title_canon_sha256": "091741b14608b088dc35a0a365762d1513ef167b0d44b08b8b60fb92903f1a05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0111023",
    "kind": "arxiv",
    "version": 1
  }
}