Pith Number

pith:PPFNPS32

pith:2026:PPFNPS32VINFBELW5QV6H3JGLO

not attested not anchored not stored refs pending

Thermo-responsive self-oscillating gel: mathematical model and theoretical analysis

Ling Yuan, Lin Ren, Qingyu Gao, Yunjie Wang, Zihao Liu

arxiv:2606.21225 v1 · 2026-06-19 · cond-mat.soft

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PPFNPS32VINFBELW5QV6H3JGLO}

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	2026-06-23T01:12:33.904935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bcad7cb7aaa1a509176ec2be3ed265bba76bd92027d7eaf89c26e01d8068e95

Aliases

arxiv: 2606.21225 · arxiv_version: 2606.21225v1 · doi: 10.48550/arxiv.2606.21225 · pith_short_12: PPFNPS32VINF · pith_short_16: PPFNPS32VINFBELW · pith_short_8: PPFNPS32

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/PPFNPS32VINFBELW5QV6H3JGLO \
  | 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: 7bcad7cb7aaa1a509176ec2be3ed265bba76bd92027d7eaf89c26e01d8068e95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c6d2cc157ba8f86f38066888519cdb68a6b9a95be5f60f5b0ea181c2d7ce2fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2026-06-19T08:44:01Z",
    "title_canon_sha256": "83519ef52eb18caf3b32ba6dae45295779e6ca64f888fd889e1002cf3d0e6b38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21225",
    "kind": "arxiv",
    "version": 1
  }
}