Pith Number

pith:YT5HBSLY

pith:2015:YT5HBSLYG2ORZ7BO2OSVIV4VPO

not attested not anchored not stored refs pending

The X-ray transform for connections in negative curvature

Colin Guillarmou, Gabriel P. Paternain, Gunther Uhlmann, Mikko Salo

arxiv:1502.04720 v2 · 2015-02-16 · math.AP · math.DG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YT5HBSLYG2ORZ7BO2OSVIV4VPO}

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	2026-05-18T01:22:21.420735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4fa70c978369d1cfc2ed3a55457957b83f1419e6bb716df83dec4d277b3a4da

Aliases

arxiv: 1502.04720 · arxiv_version: 1502.04720v2 · doi: 10.48550/arxiv.1502.04720 · pith_short_12: YT5HBSLYG2OR · pith_short_16: YT5HBSLYG2ORZ7BO · pith_short_8: YT5HBSLY

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/YT5HBSLYG2ORZ7BO2OSVIV4VPO \
  | 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: c4fa70c978369d1cfc2ed3a55457957b83f1419e6bb716df83dec4d277b3a4da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72ab23246d25fb8f6923c4b2392b60556e00d422f919fdcf3ef6b6ab4c45408f",
    "cross_cats_sorted": [
      "math.DG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-16T21:07:20Z",
    "title_canon_sha256": "87b8ff8dd9c3443445e60364c1c326885a7f6605a6ca8b72e6635df1e983721e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04720",
    "kind": "arxiv",
    "version": 2
  }
}