Pith Number

pith:VNZRCP6H

pith:2012:VNZRCP6H2TYBN33UOUAIROEL2R

not attested not anchored not stored refs pending

Global strong solution to a nonlinear Dirac type equation in one dimension

Yongqian Zhang

arxiv:1205.4568 v1 · 2012-05-21 · 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{VNZRCP6H2TYBN33UOUAIROEL2R}

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	2026-05-18T03:28:53.930021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab73113fc7d4f016ef74750088b88bd46bd5de01c5ed8e5e9f6d766bf54a0333

Aliases

arxiv: 1205.4568 · arxiv_version: 1205.4568v1 · doi: 10.48550/arxiv.1205.4568 · pith_short_12: VNZRCP6H2TYB · pith_short_16: VNZRCP6H2TYBN33U · pith_short_8: VNZRCP6H

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/VNZRCP6H2TYBN33UOUAIROEL2R \
  | 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: ab73113fc7d4f016ef74750088b88bd46bd5de01c5ed8e5e9f6d766bf54a0333

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82a686297a30e0eb194c67da3ee0ab9032933a64fdad0c69be8388587ea1d854",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-05-21T11:48:35Z",
    "title_canon_sha256": "bfbdbb6bf2a2d69554f6f91e9e415aa0017e5f6022b9e9546fe142977f63b857"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4568",
    "kind": "arxiv",
    "version": 1
  }
}