Pith Number

pith:DGSGNDYX

pith:2012:DGSGNDYXCQJ2XXPD2B2KV2CEHR

not attested not anchored not stored refs pending

Submanifolds of products of space forms

Bruno Mendon\c{c}a, Ruy Tojeiro

arxiv:1203.3790 v3 · 2012-03-16 · 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{DGSGNDYXCQJ2XXPD2B2KV2CEHR}

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	2026-05-18T03:51:12.692079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19a4668f171413abdde3d074aae8443c5b08b0159bbaedd27ad331299b02e814

Aliases

arxiv: 1203.3790 · arxiv_version: 1203.3790v3 · doi: 10.48550/arxiv.1203.3790 · pith_short_12: DGSGNDYXCQJ2 · pith_short_16: DGSGNDYXCQJ2XXPD · pith_short_8: DGSGNDYX

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/DGSGNDYXCQJ2XXPD2B2KV2CEHR \
  | 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: 19a4668f171413abdde3d074aae8443c5b08b0159bbaedd27ad331299b02e814

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ab1ec99beeeb324bff366e28a92220ca86b6f71b0eda29f2557c3bd0d200fea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-03-16T19:33:07Z",
    "title_canon_sha256": "2c9fa564042b3cecb58bcfab5d51102dae1dea1fbcad2de703c2b8810ffbad58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3790",
    "kind": "arxiv",
    "version": 3
  }
}