Pith Number

pith:3C5BNSFY

pith:2014:3C5BNSFYX3AB7RWH47PHJDYVVP

not attested not anchored not stored refs pending

Ends, fundamental tones, and capacities of minimal submanifolds via extrinsic comparison theory

Steen Markvorsen, Vicent Gimeno

arxiv:1401.1329 v1 · 2014-01-07 · 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{3C5BNSFYX3AB7RWH47PHJDYVVP}

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	2026-05-18T03:03:08.954766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8ba16c8b8bec01fc6c7e7de748f15abdf028c479c5ffcffd5219228cff39bc0

Aliases

arxiv: 1401.1329 · arxiv_version: 1401.1329v1 · doi: 10.48550/arxiv.1401.1329 · pith_short_12: 3C5BNSFYX3AB · pith_short_16: 3C5BNSFYX3AB7RWH · pith_short_8: 3C5BNSFY

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/3C5BNSFYX3AB7RWH47PHJDYVVP \
  | 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: d8ba16c8b8bec01fc6c7e7de748f15abdf028c479c5ffcffd5219228cff39bc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ba6eaddf8c378a442a8c1c0b70aad1fd759dd39d295f6800fc22dd373730be4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-01-07T10:09:36Z",
    "title_canon_sha256": "7f793d730cdcc17008d8685382e70fd5453b1f5c1c78205ed40034a468144e2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.1329",
    "kind": "arxiv",
    "version": 1
  }
}