Pith Number

pith:NG55QI3U

pith:2013:NG55QI3UIV2XDYVYE2B4FK5YPA

not attested not anchored not stored refs pending

The biharmonic heat operator on edge manifolds and non-linear fourth order equations

Boris Vertman

arxiv:1301.7299 v2 · 2013-01-30 · math.SP · 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{NG55QI3UIV2XDYVYE2B4FK5YPA}

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	2026-05-18T01:18:23.722757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69bbd82374457571e2b82683c2abb878190d7eecdd7d1363fb0ea802d3f58bf5

Aliases

arxiv: 1301.7299 · arxiv_version: 1301.7299v2 · doi: 10.48550/arxiv.1301.7299 · pith_short_12: NG55QI3UIV2X · pith_short_16: NG55QI3UIV2XDYVY · pith_short_8: NG55QI3U

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/NG55QI3UIV2XDYVYE2B4FK5YPA \
  | 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: 69bbd82374457571e2b82683c2abb878190d7eecdd7d1363fb0ea802d3f58bf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa8d79f007724a5efdb26ea1f0b8c84dc1dbedc42720bb1726975da66316a66b",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-01-30T17:18:43Z",
    "title_canon_sha256": "bbcd1b78c86770dcfdff383369d76306885bcf34443e56ddb57dcb1f202acdd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7299",
    "kind": "arxiv",
    "version": 2
  }
}