Pith Number

pith:IJCJ7FQL

pith:2016:IJCJ7FQLODOEI6ZE63QRBKQOTP

not attested not anchored not stored refs pending

The geodesic ray transform on two-dimensional Cartan-Hadamard manifolds

Jere Lehtonen

arxiv:1612.04800 v1 · 2016-12-14 · 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{IJCJ7FQLODOEI6ZE63QRBKQOTP}

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	2026-05-18T00:54:58.591522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42449f960b70dc447b24f6e110aa0e9bfef2c7afebc7edac2dff106360657566

Aliases

arxiv: 1612.04800 · arxiv_version: 1612.04800v1 · doi: 10.48550/arxiv.1612.04800 · pith_short_12: IJCJ7FQLODOE · pith_short_16: IJCJ7FQLODOEI6ZE · pith_short_8: IJCJ7FQL

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/IJCJ7FQLODOEI6ZE63QRBKQOTP \
  | 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: 42449f960b70dc447b24f6e110aa0e9bfef2c7afebc7edac2dff106360657566

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "315f4dfe90e2c22e413ad1caca7799f53fb712c7a6dde5e323e33b7863089a02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-12-14T20:40:37Z",
    "title_canon_sha256": "2bf1a218c02b885958657e9b0d34c8d0a806bcf64ab413cb1d14567741788739"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04800",
    "kind": "arxiv",
    "version": 1
  }
}