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Pith Number

pith:PJC3XVCP

pith:2015:PJC3XVCP4VBNC7NEKNGPPTYP5S
not attested not anchored not stored refs pending

On existence and uniqueness of solutions of thermal phase field models with a general class of nonlinearities

Anderson L.A. de Araujo, Bianca M.R. Calsavara, Jos\'e L. Boldrini

arxiv:1505.02735 v2 · 2015-05-11 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PJC3XVCP4VBNC7NEKNGPPTYP5S}

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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 2026-05-18T02:14:16.213643Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7a45bbd44fe542d17da4534cf7cf0feca6c2ce2568d62d21df23e442b98ed09e

Aliases

arxiv: 1505.02735 · arxiv_version: 1505.02735v2 · doi: 10.48550/arxiv.1505.02735 · pith_short_12: PJC3XVCP4VBN · pith_short_16: PJC3XVCP4VBNC7NE · pith_short_8: PJC3XVCP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PJC3XVCP4VBNC7NEKNGPPTYP5S \
  | 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: 7a45bbd44fe542d17da4534cf7cf0feca6c2ce2568d62d21df23e442b98ed09e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7ecc873054d3e2d366dc0cf75a214c3100c6a2323e7acaa0b31bb6a764aa7c3b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-05-11T19:07:15Z",
    "title_canon_sha256": "7eb374a71341e1d3a8bf629d697f6a61e2f9a310176a06a0621b2679c7f605a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02735",
    "kind": "arxiv",
    "version": 2
  }
}