Pith Number

pith:M35AP4FV

pith:2026:M35AP4FV5BXYYEREAX4HWGZ5BM

not attested not anchored not stored refs pending

From real polymers to random graphs: percolation thresholds in associative polymer solutions

Friederike Schmid, Lennart Hebestreit, Xinxiang Chen

arxiv:2607.25534 v1 · 2026-07-28 · 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{M35AP4FV5BXYYEREAX4HWGZ5BM}

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	2026-07-29T01:25:45.437336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66fa07f0b5e86f8c122405f87b1b3d0b1aa1c247d5efad54c0e90f9f6d44f6d0

Aliases

arxiv: 2607.25534 · arxiv_version: 2607.25534v1 · doi: 10.48550/arxiv.2607.25534 · pith_short_12: M35AP4FV5BXY · pith_short_16: M35AP4FV5BXYYERE · pith_short_8: M35AP4FV

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/M35AP4FV5BXYYEREAX4HWGZ5BM \
  | 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: 66fa07f0b5e86f8c122405f87b1b3d0b1aa1c247d5efad54c0e90f9f6d44f6d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e69f721c308cb70489d7a0b5fe4607b69f9f7f08b3c2e81c646bdb3db76e813",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2026-07-28T10:18:21Z",
    "title_canon_sha256": "adca35d22419a847634a4e9992009d0ca438eccae0afd9990d9a5a42f72e003d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25534",
    "kind": "arxiv",
    "version": 1
  }
}