Pith Number

pith:7PFV2TG2

pith:2009:7PFV2TG2UPSJBNYTXW5FFUSWE3

not attested not anchored not stored refs pending

Origin of branch points in the spectrum of PT-symmetric periodic potentials

Ching-Hao Chang, Shi-Ming Wang, Tzay-Ming Hong

arxiv:0908.3354 v1 · 2009-08-24 · quant-ph · cond-mat.other

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7PFV2TG2UPSJBNYTXW5FFUSWE3}

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	2026-05-18T02:12:23.754077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbcb5d4cdaa3e490b713bdba52d25626ea5e0ec5644e2bb4e63aca9d67d95c88

Aliases

arxiv: 0908.3354 · arxiv_version: 0908.3354v1 · doi: 10.48550/arxiv.0908.3354 · pith_short_12: 7PFV2TG2UPSJ · pith_short_16: 7PFV2TG2UPSJBNYT · pith_short_8: 7PFV2TG2

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/7PFV2TG2UPSJBNYTXW5FFUSWE3 \
  | 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: fbcb5d4cdaa3e490b713bdba52d25626ea5e0ec5644e2bb4e63aca9d67d95c88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f24f5f89e24de7b25c4524a543748baf9ec640bdd1fae91b09b2294ac7c85c4f",
    "cross_cats_sorted": [
      "cond-mat.other"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-08-24T02:45:31Z",
    "title_canon_sha256": "2bf1eaa9187b3ebe7a88ec4d70b36df6a05397d14ab126cb8d341ff1757a3592"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.3354",
    "kind": "arxiv",
    "version": 1
  }
}