Pith Number

pith:4UQMA7LD

pith:2015:4UQMA7LDX4VDGLACZF2MCBKJ4Z

not attested not anchored not stored refs pending

Dirac lattices, zero-range potentials and self adjoint extension

J.M. Munoz-Castaneda, M. Bordag

arxiv:1501.01393 v1 · 2015-01-07 · 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{4UQMA7LDX4VDGLACZF2MCBKJ4Z}

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	2026-05-18T01:41:14.117282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e520c07d63bf2a332c02c974c10549e64dd5bb1504c8d076d9f296b71ded062c

Aliases

arxiv: 1501.01393 · arxiv_version: 1501.01393v1 · doi: 10.48550/arxiv.1501.01393 · pith_short_12: 4UQMA7LDX4VD · pith_short_16: 4UQMA7LDX4VDGLAC · pith_short_8: 4UQMA7LD

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/4UQMA7LDX4VDGLACZF2MCBKJ4Z \
  | 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: e520c07d63bf2a332c02c974c10549e64dd5bb1504c8d076d9f296b71ded062c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4970ca15234b9ed3ca708631f47072857050ab92ed01aa52fd86270013fba81a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-01-07T08:43:49Z",
    "title_canon_sha256": "3e582f0abb3dcdf093f1c46367e75fa30d012e45b6ed92f9de611954bbb153e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01393",
    "kind": "arxiv",
    "version": 1
  }
}