Pith Number

pith:V33GW63A

pith:2011:V33GW63AXPDITNCBIBBCKW4YHZ

not attested not anchored not stored refs pending

A Correspondence Between Distances and Embeddings for Manifolds: New Techniques for Applications of the Abstract Boundary

Ben E. Whale, Susan M. Scott

arxiv:1104.3378 v1 · 2011-04-18 · gr-qc · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V33GW63AXPDITNCBIBBCKW4YHZ}

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	2026-05-18T04:24:05.205881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aef66b7b60bbc689b4414042255b983e68abd794e37e68dea28f91abda53c701

Aliases

arxiv: 1104.3378 · arxiv_version: 1104.3378v1 · doi: 10.48550/arxiv.1104.3378 · pith_short_12: V33GW63AXPDI · pith_short_16: V33GW63AXPDITNCB · pith_short_8: V33GW63A

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/V33GW63AXPDITNCBIBBCKW4YHZ \
  | 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: aef66b7b60bbc689b4414042255b983e68abd794e37e68dea28f91abda53c701

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f50546bdf8051fb13fa1e6172f4624d5ed5cc0d7bc186d45e2e8e75d516dbc9",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-04-18T03:57:45Z",
    "title_canon_sha256": "be9e2b1e0e406218063ec89689c4ef4e72d85232b45ad657bbc2d30a12142b39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3378",
    "kind": "arxiv",
    "version": 1
  }
}