Pith Number

pith:WNTW3TB5

pith:2013:WNTW3TB56YPDG73MZEDON2OPV3

not attested not anchored not stored refs pending

Bi-Lipschitz embedding of projective metrics

Leonid V. Kovalev

arxiv:1312.7792 v2 · 2013-12-30 · math.MG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WNTW3TB56YPDG73MZEDON2OPV3}

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	2026-05-18T02:49:45.719188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3676dcc3df61e337f6cc906e6e9cfaefc7290601a36c655d61fd6fdceac7eb1

Aliases

arxiv: 1312.7792 · arxiv_version: 1312.7792v2 · doi: 10.48550/arxiv.1312.7792 · pith_short_12: WNTW3TB56YPD · pith_short_16: WNTW3TB56YPDG73M · pith_short_8: WNTW3TB5

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/WNTW3TB56YPDG73MZEDON2OPV3 \
  | 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: b3676dcc3df61e337f6cc906e6e9cfaefc7290601a36c655d61fd6fdceac7eb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d6fbb97587f29df2187bb2bbba48b16f492c78bea0d58ab9d9d76d715e976f8",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-12-30T17:41:10Z",
    "title_canon_sha256": "356446d9ffd267742cab56aeb29eaedc1a9b4cc422a163245ad96acdc97b8202"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7792",
    "kind": "arxiv",
    "version": 2
  }
}