Pith Number

pith:HOEQ5RBR

pith:2011:HOEQ5RBRE5MH77IFG3MWSFXGKL

not attested not anchored not stored refs pending

The Linearized System for Isometric Embeddings and Its Characteristic Variety

Marcus Khuri, Qing Han

arxiv:1111.4722 v1 · 2011-11-21 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HOEQ5RBRE5MH77IFG3MWSFXGKL}

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	2026-05-18T03:02:07.637118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b890ec43127587ffd0536d96916e652f3d08dfdbdd33806bebf9f751253b59b

Aliases

arxiv: 1111.4722 · arxiv_version: 1111.4722v1 · doi: 10.48550/arxiv.1111.4722 · pith_short_12: HOEQ5RBRE5MH · pith_short_16: HOEQ5RBRE5MH77IF · pith_short_8: HOEQ5RBR

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/HOEQ5RBRE5MH77IFG3MWSFXGKL \
  | 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: 3b890ec43127587ffd0536d96916e652f3d08dfdbdd33806bebf9f751253b59b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec23b1006f39d58dcefc133c0e84a532328bc9176907b2f82b322cd7f6685e70",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-11-21T03:07:01Z",
    "title_canon_sha256": "98bcf8678015859faaed22532e0946e8cd8f7ccffdefae8030beeb49b118d3f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4722",
    "kind": "arxiv",
    "version": 1
  }
}