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Pith Number

pith:ZKB5CEVP

pith:2012:ZKB5CEVP2BXYPK5V6UONQZHJSS
not attested not anchored not stored refs pending

(1+1)-Dirac bound states in one-dimension; position-dependent Fermi velocity and mass

Omar Mustafa

arxiv:1210.0102 v3 · 2012-09-29 · math-ph · math.MP · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZKB5CEVP2BXYPK5V6UONQZHJSS}

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 2026-05-18T00:23:41.050045Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ca83d112afd06f87abb5f51cd864e994a08cd5df0c743c0250cc0db5f3a0284e

Aliases

arxiv: 1210.0102 · arxiv_version: 1210.0102v3 · doi: 10.48550/arxiv.1210.0102 · pith_short_12: ZKB5CEVP2BXY · pith_short_16: ZKB5CEVP2BXYPK5V · pith_short_8: ZKB5CEVP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZKB5CEVP2BXYPK5V6UONQZHJSS \
  | 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: ca83d112afd06f87abb5f51cd864e994a08cd5df0c743c0250cc0db5f3a0284e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "16ba295808350867876eedb1325afcfa358de92b6d7111b6ad6df5379bb7140e",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-29T12:59:24Z",
    "title_canon_sha256": "2733554e966ad148ed3d7f361a886ed191a4381311844510970f3908cd61ef7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0102",
    "kind": "arxiv",
    "version": 3
  }
}