Pith Number

pith:SPSW7UT7

pith:2010:SPSW7UT7Z4GJQLVUBXEDZNADRG

not attested not anchored not stored refs pending

Heat equation with dynamical boundary conditions of reactive-diffusive type

Enzo Vitillaro, Juan Luis V\'azquez

arxiv:1001.3642 v1 · 2010-01-20 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SPSW7UT7Z4GJQLVUBXEDZNADRG}

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	2026-05-18T01:21:49.662076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93e56fd27fcf0c982eb40dc83cb4038999d67f3a7dc53017584174d625385adc

Aliases

arxiv: 1001.3642 · arxiv_version: 1001.3642v1 · doi: 10.48550/arxiv.1001.3642 · pith_short_12: SPSW7UT7Z4GJ · pith_short_16: SPSW7UT7Z4GJQLVU · pith_short_8: SPSW7UT7

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/SPSW7UT7Z4GJQLVUBXEDZNADRG \
  | 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: 93e56fd27fcf0c982eb40dc83cb4038999d67f3a7dc53017584174d625385adc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be5f1a1977a83ce029d4bf99a3aa0c0b88d94c924ad874d2c7b8965addf7e46c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-01-20T17:00:08Z",
    "title_canon_sha256": "cbc0503ce368ac151e4f08f30fa8293131b97704956a8d52627d81efe3b4d57e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3642",
    "kind": "arxiv",
    "version": 1
  }
}