Pith Number

pith:4WQUX3LE

pith:2016:4WQUX3LEIIMUVBCBACQ3XYWLMG

not attested not anchored not stored refs pending

Singular integrals and a problem on mixing flows

Andreas Seeger, Brian Street, Charles K. Smart, Mahir Had\v{z}i\'c

arxiv:1612.03431 v2 · 2016-12-11 · math.CA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WQUX3LEIIMUVBCBACQ3XYWLMG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:43:54.300513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5a14bed6442194a844100a1bbe2cb61ba0efbbcc0a1bc69531bcaee8dbb2678

Aliases

arxiv: 1612.03431 · arxiv_version: 1612.03431v2 · doi: 10.48550/arxiv.1612.03431 · pith_short_12: 4WQUX3LEIIMU · pith_short_16: 4WQUX3LEIIMUVBCB · pith_short_8: 4WQUX3LE

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/4WQUX3LEIIMUVBCBACQ3XYWLMG \
  | 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: e5a14bed6442194a844100a1bbe2cb61ba0efbbcc0a1bc69531bcaee8dbb2678

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2a09e3d6c7b60728ae6cf13bf9c32eebd08e6cf2e41daf416060bbd52d61dd4",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-12-11T16:17:19Z",
    "title_canon_sha256": "d5e40ac2755c33ba48186fc6d3e45cfdae1f44f4b394a13be82fab8a6db75501"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03431",
    "kind": "arxiv",
    "version": 2
  }
}