Pith Number

pith:L7URNI3U

pith:2018:L7URNI3U3QDLVVK6YEND4A4ODF

not attested not anchored not stored refs pending

The Gromov--Guth--Whitney embedding theorem

Fedor Manin, Shmuel Weinberger

arxiv:1805.06127 v1 · 2018-05-16 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L7URNI3U3QDLVVK6YEND4A4ODF}

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	2026-05-18T00:15:48.803343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fe916a374dc06bad55ec11a3e038e19787ab318e5b2ffe1aff40f9762647cb3

Aliases

arxiv: 1805.06127 · arxiv_version: 1805.06127v1 · doi: 10.48550/arxiv.1805.06127 · pith_short_12: L7URNI3U3QDL · pith_short_16: L7URNI3U3QDLVVK6 · pith_short_8: L7URNI3U

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/L7URNI3U3QDLVVK6YEND4A4ODF \
  | 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: 5fe916a374dc06bad55ec11a3e038e19787ab318e5b2ffe1aff40f9762647cb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca6d97a89c3c1960a9c5a29a0224db6901427c010f0bb88dc28ae2e11c4d4220",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-05-16T04:42:15Z",
    "title_canon_sha256": "1591dc45b9a5707347b6862ecb20576b2fef3433cedaaed81f99870be0fcc76a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.06127",
    "kind": "arxiv",
    "version": 1
  }
}