Pith Number

pith:YBKXU7N6

pith:2018:YBKXU7N6QWEVEHA3WKTDHSZVJQ

not attested not anchored not stored refs pending

Lecture Notes on Rectifiable Reifenberg for Measures

Aaron Naber

arxiv:1812.07564 v1 · 2018-12-18 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YBKXU7N6QWEVEHA3WKTDHSZVJQ}

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	2026-05-17T23:58:00.151445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0557a7dbe8589521c1bb2a633cb354c3f966dda3d8d369028ec44637de3eeeb

Aliases

arxiv: 1812.07564 · arxiv_version: 1812.07564v1 · doi: 10.48550/arxiv.1812.07564 · pith_short_12: YBKXU7N6QWEV · pith_short_16: YBKXU7N6QWEVEHA3 · pith_short_8: YBKXU7N6

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/YBKXU7N6QWEVEHA3WKTDHSZVJQ \
  | 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: c0557a7dbe8589521c1bb2a633cb354c3f966dda3d8d369028ec44637de3eeeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db56e1cc2d6041ae113a90daba1572b69152ba3103e4e10a0db66a02fa089e1f",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-18T18:54:29Z",
    "title_canon_sha256": "f219c87785bcb196a59e66c8b0c560d85dfa424b2e285280cb632b78d3df8b85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07564",
    "kind": "arxiv",
    "version": 1
  }
}