Pith Number

pith:F4QJIPC5

pith:2024:F4QJIPC5ABG6IGIT7GJZ2LSAJZ

not attested not anchored not stored refs pending

Isometric rigidity of $L^2$-spaces with manifold targets

David Lenze

arxiv:2412.13914 v3 · 2024-12-18 · math.MG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F4QJIPC5ABG6IGIT7GJZ2LSAJZ}

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	2026-07-05T10:46:40.015343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f20943c5d004de41913f9939d2e404e733d27c9481ee525c03716f0d35bed3f

Aliases

arxiv: 2412.13914 · arxiv_version: 2412.13914v3 · doi: 10.48550/arxiv.2412.13914 · pith_short_12: F4QJIPC5ABG6 · pith_short_16: F4QJIPC5ABG6IGIT · pith_short_8: F4QJIPC5

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/F4QJIPC5ABG6IGIT7GJZ2LSAJZ \
  | 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: 2f20943c5d004de41913f9939d2e404e733d27c9481ee525c03716f0d35bed3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c2bf97e6d86d8a2cd7d49292fdc0ffe9fc1c4a94f416aef9adb9ca7e9a5efde",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2024-12-18T14:54:45Z",
    "title_canon_sha256": "df1cea9d72523c7f91e54ac63a8dc9262fbebae0ebb38d0017eab08d26a8a29e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.13914",
    "kind": "arxiv",
    "version": 3
  }
}