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Pith Number

pith:SY455CDS

pith:2017:SY455CDSHCLSHD3SAPFLGQV4Y4
not attested not anchored not stored refs pending

Periodic patterns for a model involving short-range and long-range interactions

Mouhamed Moustapha Fall

arxiv:1711.10825 v1 · 2017-11-29 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{SY455CDSHCLSHD3SAPFLGQV4Y4}

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 2026-05-18T00:29:16.835713Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9639de88723897238f7203cab342bcc7358e0b3ffe6dbd8b99f05191dad4f0af

Aliases

arxiv: 1711.10825 · arxiv_version: 1711.10825v1 · doi: 10.48550/arxiv.1711.10825 · pith_short_12: SY455CDSHCLS · pith_short_16: SY455CDSHCLSHD3S · pith_short_8: SY455CDS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/SY455CDSHCLSHD3SAPFLGQV4Y4 \
  | 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: 9639de88723897238f7203cab342bcc7358e0b3ffe6dbd8b99f05191dad4f0af
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "19ccc2f3292d2516be8f7f849dcf989d61daff8c62577aa66564da206c94ce70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-11-29T12:56:27Z",
    "title_canon_sha256": "1f0eac994f1b50d06ab0594580935439626c03f7a3309fd817f314f55e3d2f71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.10825",
    "kind": "arxiv",
    "version": 1
  }
}