Pith Number

pith:UM4W3RKY

pith:2016:UM4W3RKYYKSTKAWS6WXH433PC6

not attested not anchored not stored refs pending

Heat kernel estimates on connected sums of parabolic manifolds

Alexander Grigor'yan, Laurent Saloff-Coste, Satoshi Ishiwata

arxiv:1608.01596 v1 · 2016-08-04 · 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{UM4W3RKYYKSTKAWS6WXH433PC6}

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	2026-05-18T01:09:52.022266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3396dc558c2a53502d2f5ae7e6f6f17b2909bf85d40e216a80e060e8aff16a7

Aliases

arxiv: 1608.01596 · arxiv_version: 1608.01596v1 · doi: 10.48550/arxiv.1608.01596 · pith_short_12: UM4W3RKYYKST · pith_short_16: UM4W3RKYYKSTKAWS · pith_short_8: UM4W3RKY

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/UM4W3RKYYKSTKAWS6WXH433PC6 \
  | 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: a3396dc558c2a53502d2f5ae7e6f6f17b2909bf85d40e216a80e060e8aff16a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0058d36b5477adc071594e8241b2d48e74de6ccb3e00b40daadd9f97b5cba72e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-08-04T16:14:42Z",
    "title_canon_sha256": "bc15f5edeb86f9e09ece69b5f246bc97196d5d4fbe91d728e2f2dbd7c092823f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01596",
    "kind": "arxiv",
    "version": 1
  }
}