Pith Number

pith:QF2WLQQT

pith:2013:QF2WLQQTLASCO66V3M4KLYRLTI

not attested not anchored not stored refs pending

The inverse function theorem and the resolution of the Jacobian conjecture in free analysis

J. E. Pascoe

arxiv:1303.6011 v1 · 2013-03-25 · math.FA · math.AC · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QF2WLQQTLASCO66V3M4KLYRLTI}

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	2026-05-18T02:48:47.073780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

817565c2135824277bd5db38a5e22b9a30440b8f3e3f6b1bbb2e661596b5392b

Aliases

arxiv: 1303.6011 · arxiv_version: 1303.6011v1 · doi: 10.48550/arxiv.1303.6011 · pith_short_12: QF2WLQQTLASC · pith_short_16: QF2WLQQTLASCO66V · pith_short_8: QF2WLQQT

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/QF2WLQQTLASCO66V3M4KLYRLTI \
  | 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: 817565c2135824277bd5db38a5e22b9a30440b8f3e3f6b1bbb2e661596b5392b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdb085941ab7c7a4dc112f1b4264eb6547668be080bcfb78464cea9400797fc5",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-03-25T01:18:26Z",
    "title_canon_sha256": "ac43e721729c9612538b510eb6f965edaa7e5239a7ed7fc82a8d7672a3815cc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6011",
    "kind": "arxiv",
    "version": 1
  }
}