Pith Number

pith:M3JJ5OKN

pith:2012:M3JJ5OKNWNHSFFBHB5BTGM7L6Q

not attested not anchored not stored refs pending

PT-symmetric Double Well Potentials Revisited: Bifurcations, Stability and Dynamics

A.S. Rodrigues, Carl M. Bender, D.J. Frantzeskakis, K. Li, P.G. Kevrekidis, V. Achilleos

arxiv:1207.1066 v1 · 2012-07-04 · nlin.PS · cond-mat.quant-gas · 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{M3JJ5OKNWNHSFFBHB5BTGM7L6Q}

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	2026-05-18T03:51:47.601091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66d29eb94db34f2294270f433333ebf42dba8f0b847d782e0d1789d940fd7931

Aliases

arxiv: 1207.1066 · arxiv_version: 1207.1066v1 · doi: 10.48550/arxiv.1207.1066 · pith_short_12: M3JJ5OKNWNHS · pith_short_16: M3JJ5OKNWNHSFFBH · pith_short_8: M3JJ5OKN

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/M3JJ5OKNWNHSFFBHB5BTGM7L6Q \
  | 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: 66d29eb94db34f2294270f433333ebf42dba8f0b847d782e0d1789d940fd7931

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "041acf672d9abd7c2edfb0d0bb502ea20af13dcb9e3d72188961dd291f2a5ea1",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2012-07-04T18:02:16Z",
    "title_canon_sha256": "7b62344cb4287e80d5c13f7972995962bf6c9ac7a25db9c8f75ae2775787cd29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1066",
    "kind": "arxiv",
    "version": 1
  }
}