Pith Number

pith:PF3LENNT

pith:2011:PF3LENNTMFMWWHBZ5Y2GDW5KCT

not attested not anchored not stored refs pending

Sharp estimates of the Jacobi heat kernel

Adam Nowak, Peter Sj\"ogren

arxiv:1111.3145 v1 · 2011-11-14 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PF3LENNTMFMWWHBZ5Y2GDW5KCT}

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	2026-05-18T03:03:55.354046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7976b235b361596b1c39ee3461dbaa14de160b2dca73e8a037702ba44ba959b7

Aliases

arxiv: 1111.3145 · arxiv_version: 1111.3145v1 · doi: 10.48550/arxiv.1111.3145 · pith_short_12: PF3LENNTMFMW · pith_short_16: PF3LENNTMFMWWHBZ · pith_short_8: PF3LENNT

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/PF3LENNTMFMWWHBZ5Y2GDW5KCT \
  | 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: 7976b235b361596b1c39ee3461dbaa14de160b2dca73e8a037702ba44ba959b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba77cc8fff047cdd50961f7670182a705e847382fdf7ff85c12ad872965d7c82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-11-14T09:01:40Z",
    "title_canon_sha256": "c7ad604dfeabf63ae85c40034dc7003e1913d5657f0c7439766240d3d39eb26f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3145",
    "kind": "arxiv",
    "version": 1
  }
}