Pith Number

pith:WHOC43U3

pith:2017:WHOC43U3ZGGGRJC4QCCJFHDUOY

not attested not anchored not stored refs pending

Heat kernels and regularity for rough metrics on smooth manifolds

Lashi Bandara, Paul Bryan

arxiv:1712.09287 v2 · 2017-12-26 · math.DG · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WHOC43U3ZGGGRJC4QCCJFHDUOY}

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	2026-05-18T00:10:17.134667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1dc2e6e9bc98c68a45c8084929c7476264f8a28d644b8a2bdd047a4d97c99b5

Aliases

arxiv: 1712.09287 · arxiv_version: 1712.09287v2 · doi: 10.48550/arxiv.1712.09287 · pith_short_12: WHOC43U3ZGGG · pith_short_16: WHOC43U3ZGGGRJC4 · pith_short_8: WHOC43U3

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/WHOC43U3ZGGGRJC4QCCJFHDUOY \
  | 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: b1dc2e6e9bc98c68a45c8084929c7476264f8a28d644b8a2bdd047a4d97c99b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4a9a578b628fe530ca672f88b1fe1f07c143eb80cacfe1dc1cb87049033f723",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-12-26T15:43:59Z",
    "title_canon_sha256": "1c8de223572c853ee00e2423b68d680d112973a7c0f67e18a4b8937e8dc00778"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09287",
    "kind": "arxiv",
    "version": 2
  }
}