Pith Number

pith:ITVQAJEB

pith:2025:ITVQAJEBUFKWBCQJAKIJSE7PPL

not attested not anchored not stored refs pending

Alberti representations, rectifiability of metric spaces and higher integrability of measures satisfying a PDE

David Bate, Julian Weigt

arxiv:2501.02948 v1 · 2025-01-06 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ITVQAJEBUFKWBCQJAKIJSE7PPL}

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.

Cited by

1 paper in Pith

Structure of Metric $1$-currents: approximation by normal currents and representation results

Receipt and verification

First computed	2026-07-05T09:57:27.879855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44eb002481a155608a0902909913ef7ae33f63e4a58c4c50490be5d0eb017907

Aliases

arxiv: 2501.02948 · arxiv_version: 2501.02948v1 · doi: 10.48550/arxiv.2501.02948 · pith_short_12: ITVQAJEBUFKW · pith_short_16: ITVQAJEBUFKWBCQJ · pith_short_8: ITVQAJEB

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/ITVQAJEBUFKWBCQJAKIJSE7PPL \
  | 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: 44eb002481a155608a0902909913ef7ae33f63e4a58c4c50490be5d0eb017907

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11e8ba1475372807e158611f5bc2d18870653f704baad3cc9deaa04004f40d00",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2025-01-06T11:45:12Z",
    "title_canon_sha256": "e093d0c8c16db413d52b97cee24bd773250be7a711d1843255fa191e30625e09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.02948",
    "kind": "arxiv",
    "version": 1
  }
}