Pith Number

pith:OIDZZDEG

pith:2017:OIDZZDEGVL4H54435X7JPJX7CC

not attested not anchored not stored refs pending

Analytic capacity and projections

Alan Chang, Xavier Tolsa

arxiv:1712.00594 v2 · 2017-12-02 · math.CA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OIDZZDEGVL4H54435X7JPJX7CC}

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	2026-05-17T23:55:59.769753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72079c8c86aaf87ef39bedfe97a6ff10b404c0cc6c56458194531ab75f2d3743

Aliases

arxiv: 1712.00594 · arxiv_version: 1712.00594v2 · doi: 10.48550/arxiv.1712.00594 · pith_short_12: OIDZZDEGVL4H · pith_short_16: OIDZZDEGVL4H5443 · pith_short_8: OIDZZDEG

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/OIDZZDEGVL4H54435X7JPJX7CC \
  | 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: 72079c8c86aaf87ef39bedfe97a6ff10b404c0cc6c56458194531ab75f2d3743

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a789d95109eaeb183341c0917365989e90c753a3c9336273731add9fc942631b",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-12-02T11:56:04Z",
    "title_canon_sha256": "cd5404c4176698fae8e9f80b663dd647e39d7470f4b49f05f30d4e1f326769ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00594",
    "kind": "arxiv",
    "version": 2
  }
}