Pith Number

pith:XJQO7RJ2

pith:2019:XJQO7RJ2WK37PF2MWE6VYNGSMJ

not attested not anchored not stored refs pending

Approximations of energy minimization in cell-induced phase transitions of fibrous biomaterials: $\Gamma$-convergence analysis

Charalambos Makridakis, Georgios Grekas, Konstantinos Koumatos, Phoebus Rosakis

arxiv:1907.01382 v3 · 2019-07-02 · math.NA · cs.NA · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XJQO7RJ2WK37PF2MWE6VYNGSMJ}

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	2026-07-05T03:19:37.972029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba60efc53ab2b7f7974cb13d5c34d2625d6a590bd1ecfed26921041721f33642

Aliases

arxiv: 1907.01382 · arxiv_version: 1907.01382v3 · doi: 10.48550/arxiv.1907.01382 · pith_short_12: XJQO7RJ2WK37 · pith_short_16: XJQO7RJ2WK37PF2M · pith_short_8: XJQO7RJ2

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XJQO7RJ2WK37PF2MWE6VYNGSMJ \
  | 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: ba60efc53ab2b7f7974cb13d5c34d2625d6a590bd1ecfed26921041721f33642

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad266e721551c772ffe2bbe8ddd8a14112b551ec1250f8c8c04f9b09c78f279a",
    "cross_cats_sorted": [
      "cs.NA",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-07-02T14:08:20Z",
    "title_canon_sha256": "ecc9e0f9afc406e7e7aad97b98abe940b2207604b106d56b987d5eb510325bab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.01382",
    "kind": "arxiv",
    "version": 3
  }
}