Pith Number

pith:E6WRV43Q

pith:2014:E6WRV43QB6C2QA24Q2VJMQLYZE

not attested not anchored not stored refs pending

Global solution to nonlinear Dirac equation for Gross-Neveu model in $1+1$ dimensions

Qin Zhao, Yongqian Zhang

arxiv:1407.4221 v1 · 2014-07-16 · math.AP · 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{E6WRV43QB6C2QA24Q2VJMQLYZE}

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	2026-05-18T02:47:30.855568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27ad1af3700f85a8035c86aa964178c90f547da093f1b5379740fd100a624f34

Aliases

arxiv: 1407.4221 · arxiv_version: 1407.4221v1 · doi: 10.48550/arxiv.1407.4221 · pith_short_12: E6WRV43QB6C2 · pith_short_16: E6WRV43QB6C2QA24 · pith_short_8: E6WRV43Q

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/E6WRV43QB6C2QA24Q2VJMQLYZE \
  | 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: 27ad1af3700f85a8035c86aa964178c90f547da093f1b5379740fd100a624f34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f748857e146fcfba56b82bbfcb5729df0440aa9bfe6731e9cd77be8cc01e457",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-07-16T07:54:46Z",
    "title_canon_sha256": "425b14e029efee4e7c841679107df308ec578663e6cca4aef00330a487a6d202"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4221",
    "kind": "arxiv",
    "version": 1
  }
}