Pith Number

pith:2LYJW4H6

pith:2011:2LYJW4H6VAEVSEQPAUHCHCTSVB

not attested not anchored not stored refs pending

Vanishing order of solutions to Schrodinger equation

Laurent Bakri

arxiv:1111.6530 v2 · 2011-11-28 · 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{2LYJW4H6VAEVSEQPAUHCHCTSVB}

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	2026-05-18T04:07:06.331346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2f09b70fea80959120f050e238a72a8662512704238d63a9dbd9f65c4d2118c

Aliases

arxiv: 1111.6530 · arxiv_version: 1111.6530v2 · doi: 10.48550/arxiv.1111.6530 · pith_short_12: 2LYJW4H6VAEV · pith_short_16: 2LYJW4H6VAEVSEQP · pith_short_8: 2LYJW4H6

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/2LYJW4H6VAEVSEQPAUHCHCTSVB \
  | 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: d2f09b70fea80959120f050e238a72a8662512704238d63a9dbd9f65c4d2118c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6cc191117f6ac217bc10b291065e5a27dda17f5fb8ce6bd7dd9736aae8d6290",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-28T17:54:20Z",
    "title_canon_sha256": "917875494a8a060102de627e9fd2537155d361d3e5af53eca41899619998884e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6530",
    "kind": "arxiv",
    "version": 2
  }
}