Pith Number

pith:DI7QBM4P

pith:2012:DI7QBM4PLCCHMBGDC6ZGO22NOD

not attested not anchored not stored refs pending

Rank two prolongations of second-order PDE and geometric singular solutions

Kazuhiro Shibuya, Takahiro Noda

arxiv:1210.4735 v1 · 2012-10-17 · 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{DI7QBM4PLCCHMBGDC6ZGO22NOD}

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	2026-05-18T03:42:56.305602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a3f00b38f58847604c317b2676b4d70dd4cfb3c29848a2fe76dce867029e0e7

Aliases

arxiv: 1210.4735 · arxiv_version: 1210.4735v1 · doi: 10.48550/arxiv.1210.4735 · pith_short_12: DI7QBM4PLCCH · pith_short_16: DI7QBM4PLCCHMBGD · pith_short_8: DI7QBM4P

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/DI7QBM4PLCCHMBGDC6ZGO22NOD \
  | 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: 1a3f00b38f58847604c317b2676b4d70dd4cfb3c29848a2fe76dce867029e0e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d98423014a57a8c57d6c9a2395c64fd618a784a59f84f44da0f3731cf179b2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-10-17T13:35:55Z",
    "title_canon_sha256": "f70bfde2c17012d2d410b406456897613252bc876c3d5e9824dcf54bc0c8e9d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4735",
    "kind": "arxiv",
    "version": 1
  }
}