Pith Number

pith:22LDXUZ3

pith:2011:22LDXUZ332XEQ4TLDHBPNFK4MA

not attested not anchored not stored refs pending

Invariant hypersurfaces of endomorphisms of the projective 3-space

De-Qi Zhang

arxiv:1104.1142 v1 · 2011-04-06 · math.AG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{22LDXUZ332XEQ4TLDHBPNFK4MA}

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	2026-05-18T00:12:58.949060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6963bd33bdeae48726b19c2f6955c60350629b29c8423b3d526c912528bfb98

Aliases

arxiv: 1104.1142 · arxiv_version: 1104.1142v1 · doi: 10.48550/arxiv.1104.1142 · pith_short_12: 22LDXUZ332XE · pith_short_16: 22LDXUZ332XEQ4TL · pith_short_8: 22LDXUZ3

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/22LDXUZ332XEQ4TLDHBPNFK4MA \
  | 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: d6963bd33bdeae48726b19c2f6955c60350629b29c8423b3d526c912528bfb98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d78047e56580236ebb21ca7b25f246d7235758be65e4970e5e2acd58ce36aa2",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-04-06T16:49:55Z",
    "title_canon_sha256": "a217d17ddc98a64880bfd8e6ca2a9cc06edccd61400f9ca881dd6b55a9f4d24d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1142",
    "kind": "arxiv",
    "version": 1
  }
}