Pith Number

pith:HJ4S6VWS

pith:2015:HJ4S6VWSS356H4MBYXH2EAU64D

not attested not anchored not stored refs pending

A Fundamental Theorem for submanifolds of multiproducts of real space forms

Julien Roth, Marie-Am\'elie Lawn

arxiv:1502.03427 v1 · 2015-02-11 · 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{HJ4S6VWSS356H4MBYXH2EAU64D}

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	2026-05-18T02:27:19.360271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a792f56d296fbe3f181c5cfa2029ee0e331b22c2b2d6805855e00232c702e76

Aliases

arxiv: 1502.03427 · arxiv_version: 1502.03427v1 · doi: 10.48550/arxiv.1502.03427 · pith_short_12: HJ4S6VWSS356 · pith_short_16: HJ4S6VWSS356H4MB · pith_short_8: HJ4S6VWS

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/HJ4S6VWSS356H4MBYXH2EAU64D \
  | 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: 3a792f56d296fbe3f181c5cfa2029ee0e331b22c2b2d6805855e00232c702e76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9be67beb38492f2ef02ddb3c53451a04c334b9facfed8855d1e2b84a0f4840b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-02-11T20:24:41Z",
    "title_canon_sha256": "947016964b4c7b8626263f2fed9ba3a7c8d0ba1ba3b63567344036d8d801e0bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03427",
    "kind": "arxiv",
    "version": 1
  }
}