Pith Number

pith:DR7A5ZFX

pith:2013:DR7A5ZFXLWSQULO7EIGGMSRSCE

not attested not anchored not stored refs pending

Existence of generalized totally umbilic 2-spheres in perturbed 3-spheres

Alessandro Carlotto, Andrea Mondino

arxiv:1303.6345 v2 · 2013-03-25 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DR7A5ZFXLWSQULO7EIGGMSRSCE}

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	2026-05-18T02:33:07.900917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c7e0ee4b75da50a2ddf220c664a32113c41327ee716348864e5fbd5619e53ad

Aliases

arxiv: 1303.6345 · arxiv_version: 1303.6345v2 · doi: 10.48550/arxiv.1303.6345 · pith_short_12: DR7A5ZFXLWSQ · pith_short_16: DR7A5ZFXLWSQULO7 · pith_short_8: DR7A5ZFX

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/DR7A5ZFXLWSQULO7EIGGMSRSCE \
  | 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: 1c7e0ee4b75da50a2ddf220c664a32113c41327ee716348864e5fbd5619e53ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "112cc197bddd63ad1f017e3ea1b25e19af874bbc7cca0cf3f0faf1bd1b8a6b40",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-03-25T23:16:40Z",
    "title_canon_sha256": "2c68c328f73e71454c9cce3e6635f614e3a3ff7b65eff35c580770a8639fb85e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6345",
    "kind": "arxiv",
    "version": 2
  }
}