Pith Number

pith:EALO5A4F

pith:2021:EALO5A4FPGW6BNLSRIOFDA2UBK

not attested not anchored not stored refs pending

Existence of a Phase Transition in Harmonic Activation and Transport

Jacob Calvert

arxiv:2110.13893 v3 · 2021-10-26 · math.PR · 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{EALO5A4FPGW6BNLSRIOFDA2UBK}

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	2026-07-05T06:43:43.436220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2016ee838579ade0b5728a1c5183540a86869932b1aab8f882eb2f58541141b8

Aliases

arxiv: 2110.13893 · arxiv_version: 2110.13893v3 · doi: 10.48550/arxiv.2110.13893 · pith_short_12: EALO5A4FPGW6 · pith_short_16: EALO5A4FPGW6BNLS · pith_short_8: EALO5A4F

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/EALO5A4FPGW6BNLSRIOFDA2UBK \
  | 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: 2016ee838579ade0b5728a1c5183540a86869932b1aab8f882eb2f58541141b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45fe5dbcbfde41c8d4f5e09d450abf7eff7e7317aae6d8ea3b9b24e68332a734",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-10-26T17:48:49Z",
    "title_canon_sha256": "5ce308bb7864b7dbdae58c248f2c0126152b756585285184a5abaa6e2ecf9e6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.13893",
    "kind": "arxiv",
    "version": 3
  }
}