Pith Number

pith:MPGK6JWG

pith:2012:MPGK6JWGWUYXTYWC6A3VSE222J

not attested not anchored not stored refs pending

On the local theory of prescribed Jacobian equations

Neil S Trudinger

arxiv:1211.4661 v2 · 2012-11-20 · 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{MPGK6JWGWUYXTYWC6A3VSE222J}

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	2026-05-18T03:27:13.697835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63ccaf26c6b53179e2c2f03759135ad24e124e4bf74dfa4ffc2ebba2bc85df40

Aliases

arxiv: 1211.4661 · arxiv_version: 1211.4661v2 · doi: 10.48550/arxiv.1211.4661 · pith_short_12: MPGK6JWGWUYX · pith_short_16: MPGK6JWGWUYXTYWC · pith_short_8: MPGK6JWG

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/MPGK6JWGWUYXTYWC6A3VSE222J \
  | 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: 63ccaf26c6b53179e2c2f03759135ad24e124e4bf74dfa4ffc2ebba2bc85df40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf13f30328f867c8a7e72cc70591f6cef1dfadfa95eeff98f77c8da530d8b545",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-20T04:43:02Z",
    "title_canon_sha256": "92b1e65b27ac8745be5ba52e25538bd2d1c412979c4a7c9766d811571c9e0164"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4661",
    "kind": "arxiv",
    "version": 2
  }
}