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Pith Number

pith:PGP272Y7

pith:2018:PGP272Y7UPE6YBU3P2N5UXTMGW
not attested not anchored not stored refs pending

On stability of ground states for finite crystals in the Schroedinger-Poisson model

Alexander Komech, Elena Kopylova

arxiv:1808.10385 v1 · 2018-08-24 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PGP272Y7UPE6YBU3P2N5UXTMGW}

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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 2026-05-18T00:06:48.948723Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

799fafeb1fa3c9ec069b7e9bda5e6c3585c909d61df24d28f21aa278e0a12fe3

Aliases

arxiv: 1808.10385 · arxiv_version: 1808.10385v1 · doi: 10.48550/arxiv.1808.10385 · pith_short_12: PGP272Y7UPE6 · pith_short_16: PGP272Y7UPE6YBU3 · pith_short_8: PGP272Y7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PGP272Y7UPE6YBU3P2N5UXTMGW \
  | 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: 799fafeb1fa3c9ec069b7e9bda5e6c3585c909d61df24d28f21aa278e0a12fe3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5814ca4f3b47be7a5f1656ef69a0e1013448f5eb19fcc7f7540809810639db90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-24T14:33:20Z",
    "title_canon_sha256": "42c441ec8516396cc682a9b0ad44892be3aa0a11802dcbbb6cf74084f912ab90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10385",
    "kind": "arxiv",
    "version": 1
  }
}