Pith Number

pith:TFFDJXMM

pith:2010:TFFDJXMM3KDWDTWVRYAYD4MUBC

not attested not anchored not stored refs pending

The asymptotic behaviour of the heat equation in a twisted Dirichlet-Neumann waveguide

David Krejcirik, Enrique Zuazua

arxiv:1006.2619 v1 · 2010-06-14 · math.AP · math-ph · math.MP · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TFFDJXMM3KDWDTWVRYAYD4MUBC}

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	2026-05-18T04:28:21.685815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

994a34dd8cda8761ced58e0181f194088640ce2478c9da7c42cb1a678c348d21

Aliases

arxiv: 1006.2619 · arxiv_version: 1006.2619v1 · doi: 10.48550/arxiv.1006.2619 · pith_short_12: TFFDJXMM3KDW · pith_short_16: TFFDJXMM3KDWDTWV · pith_short_8: TFFDJXMM

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/TFFDJXMM3KDWDTWVRYAYD4MUBC \
  | 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: 994a34dd8cda8761ced58e0181f194088640ce2478c9da7c42cb1a678c348d21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b192cc79430ebb62520dcf8aed80b5d1cf6fbe789ca650ff9bfc10a371a4fd3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-06-14T07:27:56Z",
    "title_canon_sha256": "833a063d6bbca78a09e969e28ce25f80d4006037d53ebd721e80bc74a2c96b4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.2619",
    "kind": "arxiv",
    "version": 1
  }
}