Pith Number

pith:WMKYDBI4

pith:2008:WMKYDBI4WMIEXKCODJ4NK46IWT

not attested not anchored not stored refs pending

Isometric Immersions of Hypersurfaces in 4-dimensional Manifolds via Spinors

Julien Roth (LAMA), Marie-Am\'elie Lawn

arxiv:0803.2621 v2 · 2008-03-18 · 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{WMKYDBI4WMIEXKCODJ4NK46IWT}

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	2026-05-18T04:41:06.061691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b31581851cb3104ba84e1a78d573c8b4f9003f5f5917d992c9c24f93715dd1f4

Aliases

arxiv: 0803.2621 · arxiv_version: 0803.2621v2 · doi: 10.48550/arxiv.0803.2621 · pith_short_12: WMKYDBI4WMIE · pith_short_16: WMKYDBI4WMIEXKCO · pith_short_8: WMKYDBI4

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/WMKYDBI4WMIEXKCODJ4NK46IWT \
  | 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: b31581851cb3104ba84e1a78d573c8b4f9003f5f5917d992c9c24f93715dd1f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b652e7b5668a52981d4681e9b0fbc93ec4c606a5fafcfac849480eeb5e840b0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-03-18T13:00:39Z",
    "title_canon_sha256": "8d339423263e62b432d9f1d5a70725be6dedb82eda393bbb832fdd6a0ca6a28e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.2621",
    "kind": "arxiv",
    "version": 2
  }
}