Pith Number

pith:6O2MYVQW

pith:2023:6O2MYVQWMHDLPIMPFTUWICJDIF

not attested not anchored not stored refs pending

On a variational model for the continuous mechanics exhibiting hexagonal to square Phase Transitions

Juncheng Wei, Senping Luo

arxiv:2312.02497 v1 · 2023-12-05 · math.AP · math.CA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6O2MYVQWMHDLPIMPFTUWICJDIF}

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.

Cited by

1 paper in Pith

Signs of high order derivatives for the theta and Epstein zeta functions and application

Receipt and verification

First computed	2026-07-05T07:20:18.820594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3b4cc561661c6b7a18f2ce96409234165655fd9baec90638f933c1b60b357fa

Aliases

arxiv: 2312.02497 · arxiv_version: 2312.02497v1 · doi: 10.48550/arxiv.2312.02497 · pith_short_12: 6O2MYVQWMHDL · pith_short_16: 6O2MYVQWMHDLPIMP · pith_short_8: 6O2MYVQW

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/6O2MYVQWMHDLPIMPFTUWICJDIF \
  | 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: f3b4cc561661c6b7a18f2ce96409234165655fd9baec90638f933c1b60b357fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74f288635f9301d005f412aa39a7d16ad86b2e0b7b5a1de90df4aadb046d7c30",
    "cross_cats_sorted": [
      "math.CA",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-12-05T04:59:22Z",
    "title_canon_sha256": "f6ab382b64f94e6e8b5be3212639761797345b1ce2fe4dd2281567c8699110b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.02497",
    "kind": "arxiv",
    "version": 1
  }
}