Pith Number

pith:QMMXJTNE

pith:2022:QMMXJTNERR3PL6KFMYEBOH5ILY

not attested not anchored not stored refs pending

Stability of the positive mass theorem and torus rigidity theorems under integral curvature bounds

Brian Allen, Demetre Kazaras, Edward Bryden

arxiv:2210.04340 v1 · 2022-10-09 · 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{QMMXJTNERR3PL6KFMYEBOH5ILY}

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	2026-07-05T05:04:52.276855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

831974cda48c76f5f9456608171fa85e037702ad1157590cf5d1757bdc846902

Aliases

arxiv: 2210.04340 · arxiv_version: 2210.04340v1 · doi: 10.48550/arxiv.2210.04340 · pith_short_12: QMMXJTNERR3P · pith_short_16: QMMXJTNERR3PL6KF · pith_short_8: QMMXJTNE

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/QMMXJTNERR3PL6KFMYEBOH5ILY \
  | 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: 831974cda48c76f5f9456608171fa85e037702ad1157590cf5d1757bdc846902

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f57e57a323faccaee15bebbe2bd4a5ddb05cdb2acd9a00be3cb4089544e9b194",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2022-10-09T20:11:23Z",
    "title_canon_sha256": "d34e2f33bedd53787a94724a989f5709481738708d3692eb6fa6c4cec931d9e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.04340",
    "kind": "arxiv",
    "version": 1
  }
}