pith. sign in
Pith Number

pith:KGXHJN4T

pith:2012:KGXHJN4TUOGGLGQ5ULHSCSC77K
not attested not anchored not stored refs pending

Competing Interactions and Traveling Wave Solutions in Lattice Differential Equations

Aijun Zhang, Erik S. Van Vleck

arxiv:1210.7502 v2 · 2012-10-28 · math.DS · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{KGXHJN4TUOGGLGQ5ULHSCSC77K}

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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 2026-05-18T03:11:21.899572Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

51ae74b793a38c659a1da2cf21485ffabcf8a60a25288d8dbd17ffd4f174bdca

Aliases

arxiv: 1210.7502 · arxiv_version: 1210.7502v2 · doi: 10.48550/arxiv.1210.7502 · pith_short_12: KGXHJN4TUOGG · pith_short_16: KGXHJN4TUOGGLGQ5 · pith_short_8: KGXHJN4T
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/KGXHJN4TUOGGLGQ5ULHSCSC77K \
  | 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: 51ae74b793a38c659a1da2cf21485ffabcf8a60a25288d8dbd17ffd4f174bdca
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a57e1f88e137016ba72d6a8dcba1f9f265289c04b78867b081187e3a4b90bec0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-10-28T20:01:49Z",
    "title_canon_sha256": "f349aeb0d38fccf2d25e38d38f9fd043fb97c6ef5801972679c67b14aa2b4049"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7502",
    "kind": "arxiv",
    "version": 2
  }
}