Pith Number

pith:KSA6QLEY

pith:2025:KSA6QLEYCY3AZZWLNLOAEGBWDA

not attested not anchored not stored refs pending

General diffusions on metric graphs as limits of time-space Markov Chains

Alexis Anagnostakis

arxiv:2507.23724 v1 · 2025-07-31 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KSA6QLEYCY3AZZWLNLOAEGBWDA}

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	2026-07-05T11:46:30.042111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5481e82c9816360ce6cb6adc021836180b3fcb19089084ea181e743c86d349a7

Aliases

arxiv: 2507.23724 · arxiv_version: 2507.23724v1 · doi: 10.48550/arxiv.2507.23724 · pith_short_12: KSA6QLEYCY3A · pith_short_16: KSA6QLEYCY3AZZWL · pith_short_8: KSA6QLEY

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/KSA6QLEYCY3AZZWLNLOAEGBWDA \
  | 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: 5481e82c9816360ce6cb6adc021836180b3fcb19089084ea181e743c86d349a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9613444966e1219f572c4c95a0a00191277cf1e08cdad12223269f9dff82815a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-07-31T16:57:25Z",
    "title_canon_sha256": "760c7b5753a06f208082411bdb6329bd97e669e703cfe0c4edd196964527de6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.23724",
    "kind": "arxiv",
    "version": 1
  }
}