Pith Number

pith:7LBLJP6S

pith:2012:7LBLJP6SAIZH5WXG4E6M27ODQ6

not attested not anchored not stored refs pending

Global isometric embeddings of multiple warped product metrics into quadrics

Feliciano Vitorio, Heudson Mirandola

arxiv:1210.1812 v2 · 2012-10-05 · 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{7LBLJP6SAIZH5WXG4E6M27ODQ6}

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	2026-05-18T02:51:23.538108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fac2b4bfd202327edae6e13ccd7dc387a996b483b2b53ed940a290906275c51e

Aliases

arxiv: 1210.1812 · arxiv_version: 1210.1812v2 · doi: 10.48550/arxiv.1210.1812 · pith_short_12: 7LBLJP6SAIZH · pith_short_16: 7LBLJP6SAIZH5WXG · pith_short_8: 7LBLJP6S

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/7LBLJP6SAIZH5WXG4E6M27ODQ6 \
  | 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: fac2b4bfd202327edae6e13ccd7dc387a996b483b2b53ed940a290906275c51e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c4f69573f35cd9b101d453ef26c9f18b07df8c678917042bcb9da2b2f60b2e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-10-05T17:03:00Z",
    "title_canon_sha256": "4834350044b12fefa6d9d5e985c4c840e9458acb7c9f7d3da10b043af2967b82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1812",
    "kind": "arxiv",
    "version": 2
  }
}