Pith Number

pith:VBRYTB7X

pith:2013:VBRYTB7X2X2LWUM3NFR5X3LP5O

not attested not anchored not stored refs pending

G-Convergence, Dirichlet to Neumann maps and invisibility

Alberto Ruiz, Daniel Faraco, Yaroslav Kurylev

arxiv:1311.5466 v1 · 2013-11-21 · 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{VBRYTB7X2X2LWUM3NFR5X3LP5O}

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	2026-05-18T03:06:33.296110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8638987f7d5f4bb519b6963dbed6febadf1eee7295c75ccae3da598d102ac3d

Aliases

arxiv: 1311.5466 · arxiv_version: 1311.5466v1 · doi: 10.48550/arxiv.1311.5466 · pith_short_12: VBRYTB7X2X2L · pith_short_16: VBRYTB7X2X2LWUM3 · pith_short_8: VBRYTB7X

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/VBRYTB7X2X2LWUM3NFR5X3LP5O \
  | 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: a8638987f7d5f4bb519b6963dbed6febadf1eee7295c75ccae3da598d102ac3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc192e24d8068c9a8cc6f96460d5e5c33f1130ba1fdbd9b51ee1ee2d094c3173",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-21T16:23:03Z",
    "title_canon_sha256": "8e9d88134da6acff9c5c4533a7354d88211045911d10790b7ce19870a3612b32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5466",
    "kind": "arxiv",
    "version": 1
  }
}