Pith Number

pith:GDCXEVK4

pith:2026:GDCXEVK4I6WYRW4XNUORQN6M2L

not attested not anchored not stored refs pending

Superfluid helium

Charles Radin

arxiv:2608.05354 v1 · 2026-08-05 · cond-mat.stat-mech · 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{GDCXEVK4I6WYRW4XNUORQN6M2L}

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	2026-08-07T00:47:16.768868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30c572555c47ad88db976d1d1837ccd2dbd858ec790e7c4ded22ccc25f40f7cb

Aliases

arxiv: 2608.05354 · arxiv_version: 2608.05354v1 · doi: 10.48550/arxiv.2608.05354 · pith_short_12: GDCXEVK4I6WY · pith_short_16: GDCXEVK4I6WYRW4X · pith_short_8: GDCXEVK4

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/GDCXEVK4I6WYRW4XNUORQN6M2L \
  | 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: 30c572555c47ad88db976d1d1837ccd2dbd858ec790e7c4ded22ccc25f40f7cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9db2e5e0da485bc2515209bb31822a9a86c84ecad521bf13e54d5d8b51dae758",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-08-05T19:27:00Z",
    "title_canon_sha256": "571be31344c37b8bdfcb847d6c59f9b5042a0768265dbe63aeaf5535106d7421"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05354",
    "kind": "arxiv",
    "version": 1
  }
}