Pith Number

pith:3RHYNHHF

pith:2015:3RHYNHHFWOIADVGMYQBFW3APOQ

not attested not anchored not stored refs pending

On a doubly critical Schr\"odinger system in $\bbr^4$ with steep potential wells

Wenming Zou, Yuanze Wu

arxiv:1506.03148 v1 · 2015-06-10 · 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{3RHYNHHFWOIADVGMYQBFW3APOQ}

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	2026-05-18T01:55:31.398026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc4f869ce5b39001d4ccc4025b6c0f743e46552a95bb29b166d4f57b65bf3f09

Aliases

arxiv: 1506.03148 · arxiv_version: 1506.03148v1 · doi: 10.48550/arxiv.1506.03148 · pith_short_12: 3RHYNHHFWOIA · pith_short_16: 3RHYNHHFWOIADVGM · pith_short_8: 3RHYNHHF

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/3RHYNHHFWOIADVGMYQBFW3APOQ \
  | 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: dc4f869ce5b39001d4ccc4025b6c0f743e46552a95bb29b166d4f57b65bf3f09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0310ecfbc1aa51994953d31c8ea2eb9f42becded0c42ee4e4fa9188d65e14a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-10T02:27:53Z",
    "title_canon_sha256": "db7f6053970474b6ab22cbd74f669f7ffc7118f05a0e1eb8056976d3e699f750"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03148",
    "kind": "arxiv",
    "version": 1
  }
}