Pith Number

pith:QANUENCN

pith:2013:QANUENCN6UCI44567S37SWSPZM

not attested not anchored not stored refs pending

On the fundamental tone of minimal submanifolds with controlled extrinsic curvature

Vicent Gimeno

arxiv:1301.1148 v3 · 2013-01-07 · 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{QANUENCN6UCI44567S37SWSPZM}

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	2026-05-18T03:24:41.508501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

801b42344df5048e73befcb7f95a4fcb24c7303e917ef6ffacdb3fb4b632ebf4

Aliases

arxiv: 1301.1148 · arxiv_version: 1301.1148v3 · doi: 10.48550/arxiv.1301.1148 · pith_short_12: QANUENCN6UCI · pith_short_16: QANUENCN6UCI4456 · pith_short_8: QANUENCN

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/QANUENCN6UCI44567S37SWSPZM \
  | 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: 801b42344df5048e73befcb7f95a4fcb24c7303e917ef6ffacdb3fb4b632ebf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15cafa2345be8f3394f62d0ed3c942ff49d06f31ae571744b73397a175a73651",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-01-07T10:33:48Z",
    "title_canon_sha256": "982894046044b0249e244db8f01742d65450e0024f8f5a2189f4a1276c1939d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1148",
    "kind": "arxiv",
    "version": 3
  }
}