Pith Number

pith:4XHEBVNP

pith:2022:4XHEBVNPVMB25S7A4TOVMA7CKL

not attested not anchored not stored refs pending

Noncompact Fill-Ins of Bartnik Data

Dan A. Lee, Martin Lesourd, Ryan Unger

arxiv:2211.06280 v1 · 2022-11-11 · 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{4XHEBVNPVMB25S7A4TOVMA7CKL}

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	2026-07-05T05:15:19.070410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5ce40d5afab03aecbe0e4dd5603e252cef52016e70501b1ce7a7e4f6ebc8414

Aliases

arxiv: 2211.06280 · arxiv_version: 2211.06280v1 · doi: 10.48550/arxiv.2211.06280 · pith_short_12: 4XHEBVNPVMB2 · pith_short_16: 4XHEBVNPVMB25S7A · pith_short_8: 4XHEBVNP

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/4XHEBVNPVMB25S7A4TOVMA7CKL \
  | 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: e5ce40d5afab03aecbe0e4dd5603e252cef52016e70501b1ce7a7e4f6ebc8414

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "873992809d094878b4b1bb0cff63b113d37286071257098cd87c995d2d0fb880",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2022-11-11T15:37:03Z",
    "title_canon_sha256": "f77729ba42f4f7a97a0b5eb65460420ec4a3ba0ffa5ac40ef7d29de4193f8e48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.06280",
    "kind": "arxiv",
    "version": 1
  }
}