Pith Number

pith:7LQ2PKWW

pith:2012:7LQ2PKWWU3RLDDPX4XKCXBMFKB

not attested not anchored not stored refs pending

Approximations of periodic functions to R^n by curvatures of closed curves

Jacob Mostovoy, Rustam Sadykov

arxiv:1205.5892 v1 · 2012-05-26 · 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{7LQ2PKWWU3RLDDPX4XKCXBMFKB}

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	2026-05-18T02:21:09.384875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fae1a7aad6a6e2b18df7e5d42b8585507f1896eb39568c373c675076f4f48b81

Aliases

arxiv: 1205.5892 · arxiv_version: 1205.5892v1 · doi: 10.48550/arxiv.1205.5892 · pith_short_12: 7LQ2PKWWU3RL · pith_short_16: 7LQ2PKWWU3RLDDPX · pith_short_8: 7LQ2PKWW

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/7LQ2PKWWU3RLDDPX4XKCXBMFKB \
  | 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: fae1a7aad6a6e2b18df7e5d42b8585507f1896eb39568c373c675076f4f48b81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbacb28e0c7242a4f5dbdccd1541351c5d277ea5e69d2931fa45eaa06c36758c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-05-26T16:25:39Z",
    "title_canon_sha256": "2b9d1509fd855700e2934ec45eae2c5f469ffc8355aecb324607ce778a5df34c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5892",
    "kind": "arxiv",
    "version": 1
  }
}