Pith Number

pith:IKZDHJV4

pith:2016:IKZDHJV4JIQQGY2DMU3Z5AMD6F

not attested not anchored not stored refs pending

Heat kernel upper bounds for interacting particle systems

Arianna Giunti, Jean-Christophe Mourrat, Yu Gu

arxiv:1609.02527 v2 · 2016-09-08 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IKZDHJV4JIQQGY2DMU3Z5AMD6F}

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	2026-05-18T00:17:27.306217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42b233a6bc4a2103634365379e8183f178b85a8c3776faf5b6ff82aa3a69c2c9

Aliases

arxiv: 1609.02527 · arxiv_version: 1609.02527v2 · doi: 10.48550/arxiv.1609.02527 · pith_short_12: IKZDHJV4JIQQ · pith_short_16: IKZDHJV4JIQQGY2D · pith_short_8: IKZDHJV4

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/IKZDHJV4JIQQGY2DMU3Z5AMD6F \
  | 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: 42b233a6bc4a2103634365379e8183f178b85a8c3776faf5b6ff82aa3a69c2c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "265fd5c14f2894b7dabb894d7ecd4b68a064bc31754dc2caf32e51ccbd48e37a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-09-08T18:45:39Z",
    "title_canon_sha256": "9c2547f8315903668fe0851f07e5163a173b7166357e5f851845d3ffb9efdd06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02527",
    "kind": "arxiv",
    "version": 2
  }
}