Pith Number

pith:VSHSZMIG

pith:2015:VSHSZMIGWD2TK3YCFZAIO6WNE7

not attested not anchored not stored refs pending

Real Jacobian mates

Janusz Gwo\'zdziewicz

arxiv:1505.04967 v1 · 2015-05-19 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VSHSZMIGWD2TK3YCFZAIO6WNE7}

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	2026-05-18T01:04:57.909245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac8f2cb106b0f5356f022e40877acd27fcbc7a6c019351f9846dc032923302b8

Aliases

arxiv: 1505.04967 · arxiv_version: 1505.04967v1 · doi: 10.48550/arxiv.1505.04967 · pith_short_12: VSHSZMIGWD2T · pith_short_16: VSHSZMIGWD2TK3YC · pith_short_8: VSHSZMIG

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/VSHSZMIGWD2TK3YCFZAIO6WNE7 \
  | 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: ac8f2cb106b0f5356f022e40877acd27fcbc7a6c019351f9846dc032923302b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c31c42d5652243e9a71e41f33826eead5a5ff091881b5c4235837575855785c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-05-19T12:36:23Z",
    "title_canon_sha256": "7f3684cf9388fa343a5ea414f5e8ea4d77ed69b57307bd65c47ec6f242310928"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04967",
    "kind": "arxiv",
    "version": 1
  }
}