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Pith Number

pith:TEEHVYG2

pith:2016:TEEHVYG2BDOVSX6KW6VEY54GJ3
not attested not anchored not stored refs pending

Complete band gaps including non-local effects occur only in the relaxed micromorphic model

Angela Madeo, Gabriele Barbagallo, Marco Valerio D'Agostino, Patrizio Neff

arxiv:1602.04315 v1 · 2016-02-13 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TEEHVYG2BDOVSX6KW6VEY54GJ3}

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 2026-05-18T00:54:20.610857Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

99087ae0da08dd595fcab7aa4c77864ee1487764e9c442b906e67ad13ad8275f

Aliases

arxiv: 1602.04315 · arxiv_version: 1602.04315v1 · doi: 10.48550/arxiv.1602.04315 · pith_short_12: TEEHVYG2BDOV · pith_short_16: TEEHVYG2BDOVSX6K · pith_short_8: TEEHVYG2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TEEHVYG2BDOVSX6KW6VEY54GJ3 \
  | 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: 99087ae0da08dd595fcab7aa4c77864ee1487764e9c442b906e67ad13ad8275f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c481438246ad65aab4073953da6b561cadfc3434a875f095e62e1fbc315306ae",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-02-13T11:03:09Z",
    "title_canon_sha256": "28210cb32421be35ea4dd682aefeb509710d1ededca033df8b62f27e1b2620b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04315",
    "kind": "arxiv",
    "version": 1
  }
}