Pith Number

pith:2QM3WKLE

pith:2015:2QM3WKLE4W4YY2NWTHUZ3WKQ27

not attested not anchored not stored refs pending

Piecewise linear approximation for the dynamical $\Phi^4_3$ model

Rongchan Zhu, Xiangchan Zhu

arxiv:1504.04143 v2 · 2015-04-16 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2QM3WKLE4W4YY2NWTHUZ3WKQ27}

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	2026-05-18T00:32:21.739414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d419bb2964e5b98c69b699e99dd950d7fed1cc11523893e8e4ed06c27c5a49f9

Aliases

arxiv: 1504.04143 · arxiv_version: 1504.04143v2 · doi: 10.48550/arxiv.1504.04143 · pith_short_12: 2QM3WKLE4W4Y · pith_short_16: 2QM3WKLE4W4YY2NW · pith_short_8: 2QM3WKLE

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/2QM3WKLE4W4YY2NWTHUZ3WKQ27 \
  | 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: d419bb2964e5b98c69b699e99dd950d7fed1cc11523893e8e4ed06c27c5a49f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b556ea474423db39aaf204220bb71e2e50444c64892271b6990aff0a173130f2",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-16T08:54:07Z",
    "title_canon_sha256": "c63fbf6b9fe4908f84764867bcd0513371e231e71640454b9b708d7b6351b5d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04143",
    "kind": "arxiv",
    "version": 2
  }
}