Pith Number

pith:NL34ERL4

pith:2020:NL34ERL4R3HDWUTC2GBW4ZZRUU

not attested not anchored not stored refs pending

Liouville theorem for heat equation along ancient super Ricci flow via reduced geometry

Keita Kunikawa, Yohei Sakurai

arxiv:2005.04882 v2 · 2020-05-11 · 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{NL34ERL4R3HDWUTC2GBW4ZZRUU}

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	2026-07-05T02:45:32.230193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6af7c2457c8ece3b5262d1836e6731a50fefda1f602d11c06b8fd4df55420511

Aliases

arxiv: 2005.04882 · arxiv_version: 2005.04882v2 · doi: 10.48550/arxiv.2005.04882 · pith_short_12: NL34ERL4R3HD · pith_short_16: NL34ERL4R3HDWUTC · pith_short_8: NL34ERL4

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/NL34ERL4R3HDWUTC2GBW4ZZRUU \
  | 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: 6af7c2457c8ece3b5262d1836e6731a50fefda1f602d11c06b8fd4df55420511

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9edcb0ae0d0adf07b8eb8ceea083a98d2ed12ab1fd1946c065c92efb52217ca4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2020-05-11T06:47:42Z",
    "title_canon_sha256": "7c610b80af67cb9109422c1e26cb7636d1631823c06e58addc2ada5f5951e039"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.04882",
    "kind": "arxiv",
    "version": 2
  }
}