Pith Number

pith:IY5WNCM3

pith:2012:IY5WNCM3JLQAX3AUQKYMDIZGDF

not attested not anchored not stored refs pending

Singular Solutions of Hessian Elliptic Equations in Five Dimensions

Nikolai Nadirashvili, Serge Vladuts

arxiv:1211.5812 v1 · 2012-11-25 · math.AP · 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{IY5WNCM3JLQAX3AUQKYMDIZGDF}

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	2026-05-18T00:24:32.243301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

463b66899b4ae00bec1482b0c1a326195bcbe069b50afa9ce1370e25bb4f036b

Aliases

arxiv: 1211.5812 · arxiv_version: 1211.5812v1 · doi: 10.48550/arxiv.1211.5812 · pith_short_12: IY5WNCM3JLQA · pith_short_16: IY5WNCM3JLQAX3AU · pith_short_8: IY5WNCM3

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/IY5WNCM3JLQAX3AUQKYMDIZGDF \
  | 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: 463b66899b4ae00bec1482b0c1a326195bcbe069b50afa9ce1370e25bb4f036b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7a8a4084f4e6841f5767ca724a0fece1a10fbf51621f621754b0212c2652a4e",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-25T21:45:58Z",
    "title_canon_sha256": "e24ac66b99a83b8a31d7d683fc501908a1bf56b85954fcea50c7987d374b0d1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5812",
    "kind": "arxiv",
    "version": 1
  }
}