Pith Number

pith:ZVTTBMJV

pith:2012:ZVTTBMJVFHWDIC72A5SPQFY37P

not attested not anchored not stored refs pending

Numerical methods for nonlinear Dirac equation

Huazhong Tang, Jian Xu, Sihong Shao

arxiv:1212.5803 v2 · 2012-12-23 · physics.comp-ph · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZVTTBMJVFHWDIC72A5SPQFY37P}

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	2026-05-18T03:26:40.994932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd6730b13529ec340bfa0764f8171bfbc6be3854f48fe1411a2b294b47f14770

Aliases

arxiv: 1212.5803 · arxiv_version: 1212.5803v2 · doi: 10.48550/arxiv.1212.5803 · pith_short_12: ZVTTBMJVFHWD · pith_short_16: ZVTTBMJVFHWDIC72 · pith_short_8: ZVTTBMJV

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/ZVTTBMJVFHWDIC72A5SPQFY37P \
  | 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: cd6730b13529ec340bfa0764f8171bfbc6be3854f48fe1411a2b294b47f14770

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a7dd54c875886e2649aef04aab1bdf691422273ec0df145a5767fc9e4636b4c",
    "cross_cats_sorted": [
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2012-12-23T15:13:29Z",
    "title_canon_sha256": "fadd48e78542e64f2ea7aae975c13a87b9a94855baba3a9c665e46727f0bf745"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5803",
    "kind": "arxiv",
    "version": 2
  }
}