Pith Number

pith:PLRD3OBT

pith:2007:PLRD3OBTV2X6EBJRDQSHV2MZIR

not attested not anchored not stored refs pending

Symmetry of bound and antibound states in the semiclassical limit

David Bindel, Maciej Zworski

arxiv:math-ph/0702083 v1 · 2007-02-23 · math-ph · cs.NA · math.MP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PLRD3OBTV2X6EBJRDQSHV2MZIR}

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	2026-06-03T22:06:14.951547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ae23db833aeafe205311c247ae999447baf507bd5566edb8d37d27b119be7f8

Aliases

arxiv: math-ph/0702083 · arxiv_version: math-ph/0702083v1 · doi: 10.48550/arxiv.math-ph/0702083 · pith_short_12: PLRD3OBTV2X6 · pith_short_16: PLRD3OBTV2X6EBJR · pith_short_8: PLRD3OBT

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/PLRD3OBTV2X6EBJRDQSHV2MZIR \
  | 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: 7ae23db833aeafe205311c247ae999447baf507bd5566edb8d37d27b119be7f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72628c8be1d95d154dbce82d7402283bbf508fde7702b37a37a8ea67b3cbd0ef",
    "cross_cats_sorted": [
      "cs.NA",
      "math.MP",
      "math.NA"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2007-02-23T22:59:23Z",
    "title_canon_sha256": "bad87b4ad129f86dd183bb4c595fb43092a5bb47f2449d87f05af111b365fc5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0702083",
    "kind": "arxiv",
    "version": 1
  }
}