Pith Number

pith:HSVE6A5C

pith:2015:HSVE6A5CT3WIE43YOEUPXJFU65

not attested not anchored not stored refs pending

Absolute continuity between the surface measure and harmonic measure implies rectifiability

Alexander Volberg, Jos\'e Maria Martell, Steve Hofmann, Svitlana Mayboroda, Xavier Tolsa

arxiv:1507.04409 v1 · 2015-07-15 · 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{HSVE6A5CT3WIE43YOEUPXJFU65}

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	2026-05-18T01:36:47.506232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3caa4f03a29eec8273787128fba4b4f777a46f2831e4b8a134a7552982cf89d7

Aliases

arxiv: 1507.04409 · arxiv_version: 1507.04409v1 · doi: 10.48550/arxiv.1507.04409 · pith_short_12: HSVE6A5CT3WI · pith_short_16: HSVE6A5CT3WIE43Y · pith_short_8: HSVE6A5C

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/HSVE6A5CT3WIE43YOEUPXJFU65 \
  | 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: 3caa4f03a29eec8273787128fba4b4f777a46f2831e4b8a134a7552982cf89d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41073ba8678dce910a622067e5140613a09119f947e0247a13684aaaf3d33ff7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-15T22:53:07Z",
    "title_canon_sha256": "3066fe46ee7e477ec14ebe67525d0aacbfc0df19d6c5c9690170342aa0048040"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04409",
    "kind": "arxiv",
    "version": 1
  }
}