Pith Number

pith:I25F7CHM

pith:2015:I25F7CHM2X5I2JG7MIC2DCDI7R

not attested not anchored not stored refs pending

A Gromov's dimension comparison estimate for rectifiable sets

Aleksandra Zapadinskaya, Valentino Magnani

arxiv:1507.07346 v1 · 2015-07-27 · 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{I25F7CHM2X5I2JG7MIC2DCDI7R}

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	2026-05-18T01:36:16.572282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46ba5f88ecd5fa8d24df6205a18868fc77e613a55e976bb8d66b513c32820b5f

Aliases

arxiv: 1507.07346 · arxiv_version: 1507.07346v1 · doi: 10.48550/arxiv.1507.07346 · pith_short_12: I25F7CHM2X5I · pith_short_16: I25F7CHM2X5I2JG7 · pith_short_8: I25F7CHM

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/I25F7CHM2X5I2JG7MIC2DCDI7R \
  | 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: 46ba5f88ecd5fa8d24df6205a18868fc77e613a55e976bb8d66b513c32820b5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9baba6c641664f650c0b0cfd1a50232631752cdf3aa2ac4e7ce99e4291b7334",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-07-27T09:59:41Z",
    "title_canon_sha256": "4944bc20fbaf89ad343929c48aed1efdec72c3c4f2d8d628b1a1c8ffa0b4a3e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07346",
    "kind": "arxiv",
    "version": 1
  }
}