Pith Number

pith:DYTWGXVG

pith:2012:DYTWGXVGAURNTS7QYRNHK2E5TZ

not attested not anchored not stored refs pending

An interior gradient estimate for the mean curvature equation of Killing graphs and applications

Jaime Ripoll, Jorge H. Lira, Marcos Dajczer

arxiv:1206.2900 v2 · 2012-06-13 · 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{DYTWGXVGAURNTS7QYRNHK2E5TZ}

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	2026-05-18T03:18:08.312523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e27635ea60522d9cbf0c45a75689d9e487e7dc68fc656045a51bbdce7ebc425

Aliases

arxiv: 1206.2900 · arxiv_version: 1206.2900v2 · doi: 10.48550/arxiv.1206.2900 · pith_short_12: DYTWGXVGAURN · pith_short_16: DYTWGXVGAURNTS7Q · pith_short_8: DYTWGXVG

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/DYTWGXVGAURNTS7QYRNHK2E5TZ \
  | 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: 1e27635ea60522d9cbf0c45a75689d9e487e7dc68fc656045a51bbdce7ebc425

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63abc9f88dbb773213a074cea32aa81221a97fbae0d2b8799015c0e33dcc4092",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-06-13T19:17:59Z",
    "title_canon_sha256": "028059775722215a72e9bdcd95d5a6d6f8a884fa998337da97f9dde3ba8e4275"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2900",
    "kind": "arxiv",
    "version": 2
  }
}