Pith Number

pith:ACWAXO5A

pith:2026:ACWAXO5AT5RAQPX7VPT6NP3Q2N

not attested not anchored not stored refs pending

How Topology Shapes the Phase Behavior of Polyelectrolytes

Christian Holm, David Beyer, Lena Tarrach, Pierre J. Walker, Zhen-Gang Wang

arxiv:2607.15703 v1 · 2026-07-17 · cond-mat.soft · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ACWAXO5AT5RAQPX7VPT6NP3Q2N}

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	2026-07-20T01:19:05.157461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00ac0bbba09f62083effabe7e6bf70d34ed636ba9fa928b99f0619bd104ad812

Aliases

arxiv: 2607.15703 · arxiv_version: 2607.15703v1 · doi: 10.48550/arxiv.2607.15703 · pith_short_12: ACWAXO5AT5RA · pith_short_16: ACWAXO5AT5RAQPX7 · pith_short_8: ACWAXO5A

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/ACWAXO5AT5RAQPX7VPT6NP3Q2N \
  | 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: 00ac0bbba09f62083effabe7e6bf70d34ed636ba9fa928b99f0619bd104ad812

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91212135d31bd9cb0e28ebae827bf6fb9668e2dfe5056bcae8378ab41955ce92",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2026-07-17T07:29:38Z",
    "title_canon_sha256": "58a9afcdcb27838e65bff09496c75f0e0cd1eebfc4bf6868cee414e533fbe8c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15703",
    "kind": "arxiv",
    "version": 1
  }
}