Pith Number

pith:K6MMHOVL

pith:2007:K6MMHOVLWH3BEXPJTGBCCAGUEN

not attested not anchored not stored refs pending

A Simplified Calculation for the Fundamental Solution to the Heat Equation on the Heisenberg Group

Albert Boggess, Andrew Raich

arxiv:0711.4117 v1 · 2007-11-26 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K6MMHOVLWH3BEXPJTGBCCAGUEN}

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	2026-05-18T03:49:09.500254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5798c3baabb1f6125de999822100d42367478ac6e73ac48155bf9e52e8148123

Aliases

arxiv: 0711.4117 · arxiv_version: 0711.4117v1 · doi: 10.48550/arxiv.0711.4117 · pith_short_12: K6MMHOVLWH3B · pith_short_16: K6MMHOVLWH3BEXPJ · pith_short_8: K6MMHOVL

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/K6MMHOVLWH3BEXPJTGBCCAGUEN \
  | 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: 5798c3baabb1f6125de999822100d42367478ac6e73ac48155bf9e52e8148123

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5a38bd58c146556185f46fdfdbd12aa803b408486c50c38882618f108a90d55",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-11-26T21:03:40Z",
    "title_canon_sha256": "71b66b69015abdb0d83e34322fea9303f949663bd17af13edc70ba9d132933c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.4117",
    "kind": "arxiv",
    "version": 1
  }
}