Pith Number

pith:RP6HO2YN

pith:2012:RP6HO2YN2U7GVMS5KGOOFKDV3B

not attested not anchored not stored refs pending

Curvature estimates for minimal submanifolds of higher codimension and small G-rank

J. Jost, Ling Yang, Y. L. Xin

arxiv:1210.2031 v2 · 2012-10-07 · 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{RP6HO2YN2U7GVMS5KGOOFKDV3B}

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	2026-05-18T03:41:19.878259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bfc776b0dd53e6ab25d519ce2a875d862261de697d8721050f5d4ca9f43b24d

Aliases

arxiv: 1210.2031 · arxiv_version: 1210.2031v2 · doi: 10.48550/arxiv.1210.2031 · pith_short_12: RP6HO2YN2U7G · pith_short_16: RP6HO2YN2U7GVMS5 · pith_short_8: RP6HO2YN

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/RP6HO2YN2U7GVMS5KGOOFKDV3B \
  | 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: 8bfc776b0dd53e6ab25d519ce2a875d862261de697d8721050f5d4ca9f43b24d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dce41f268a34acfedf11d1fa922654a4930a862e3e11bfc9220bd2a01a618953",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-10-07T07:03:57Z",
    "title_canon_sha256": "258960180f224cbc96bef634352588793e03f7cbf6a527ba7f4be940357b582d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2031",
    "kind": "arxiv",
    "version": 2
  }
}