Pith Number

pith:JN6LAKZP

pith:2010:JN6LAKZPB67CUEUDU6ZZ5S7BH5

not attested not anchored not stored refs pending

The Gauss image of entire graphs of higher codimension and Bernstein type theorems

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

arxiv:1009.3901 v1 · 2010-09-20 · 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{JN6LAKZPB67CUEUDU6ZZ5S7BH5}

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	2026-05-18T04:40:43.512076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b7cb02b2f0fbe2a1283a7b39ecbe13f6a7ba37d2fc0d4dd6277ef8c71b535f4

Aliases

arxiv: 1009.3901 · arxiv_version: 1009.3901v1 · doi: 10.48550/arxiv.1009.3901 · pith_short_12: JN6LAKZPB67C · pith_short_16: JN6LAKZPB67CUEUD · pith_short_8: JN6LAKZP

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/JN6LAKZPB67CUEUDU6ZZ5S7BH5 \
  | 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: 4b7cb02b2f0fbe2a1283a7b39ecbe13f6a7ba37d2fc0d4dd6277ef8c71b535f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86a1c88e0288f3a0ca411bc9b1e279fe6f92448b02e37d4adbaea2eb8d15bf66",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-09-20T17:54:37Z",
    "title_canon_sha256": "f58aecaf1b63eddbdc0e3318cda1e4826117f6d75a42ce5e9b5324cb20d79334"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3901",
    "kind": "arxiv",
    "version": 1
  }
}