Pith Number

pith:AABFLPJZ

pith:2012:AABFLPJZLWOROPHOQEC47ZJDB3

not attested not anchored not stored refs pending

Stability index jump for cmc hypersurfaces of spheres

Aldir Brasil, Oscar M. Perdomo

arxiv:1202.2050 v1 · 2012-02-09 · 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{AABFLPJZLWOROPHOQEC47ZJDB3}

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	2026-05-18T04:02:38.388006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

000255bd395d9d173cee8105cfe5230ee4d76ae37c8903cc8b5c4dfff462545f

Aliases

arxiv: 1202.2050 · arxiv_version: 1202.2050v1 · doi: 10.48550/arxiv.1202.2050 · pith_short_12: AABFLPJZLWOR · pith_short_16: AABFLPJZLWOROPHO · pith_short_8: AABFLPJZ

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/AABFLPJZLWOROPHOQEC47ZJDB3 \
  | 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: 000255bd395d9d173cee8105cfe5230ee4d76ae37c8903cc8b5c4dfff462545f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b9e1d035988b73d694d6ade3d41768dae5b29b1b42f3b9a81c72f9affbf6a83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-02-09T17:01:33Z",
    "title_canon_sha256": "af15639bc1f41e4b8e1549923bb509eb2bc76b08a3b16c4a984926620c8b38a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2050",
    "kind": "arxiv",
    "version": 1
  }
}