Pith Number

pith:RT57NTTP

pith:2026:RT57NTTPRTBX2G337BO6ZGRERU

not attested not anchored not stored refs pending

Temporal properties of the stochastic fractional heat equation with rough dependence in space

Beibei Zhang, Bin Qian

arxiv:2607.28167 v1 · 2026-07-30 · 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{RT57NTTPRTBX2G337BO6ZGRERU}

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	2026-07-31T01:36:10.252136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

8cfbf6ce6f8cc37d1b7bf85dec9a248d04093fd8067c0b8e083e1ff41a1bbe8b

Aliases

arxiv: 2607.28167 · arxiv_version: 2607.28167v1 · doi: 10.48550/arxiv.2607.28167 · pith_short_12: RT57NTTPRTBX · pith_short_16: RT57NTTPRTBX2G33 · pith_short_8: RT57NTTP

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/RT57NTTPRTBX2G337BO6ZGRERU \
  | 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: 8cfbf6ce6f8cc37d1b7bf85dec9a248d04093fd8067c0b8e083e1ff41a1bbe8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a24dc8cdda9cf8470ec0b2a2ccd88d2ad0ba507e16fe78ef920ad4cb7753707",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-30T13:05:30Z",
    "title_canon_sha256": "8a13feaa45d32c7be77cdb03b5ce4102119a3aaa29a3c8b8df5a4e76b919118b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28167",
    "kind": "arxiv",
    "version": 1
  }
}