Pith Number

pith:D4PYPK2J

pith:2016:D4PYPK2JHIVVK222X2MAHU6BWI

not attested not anchored not stored refs pending

The X-ray transform on 2-step nilpotent Lie groups of higher rank

Evangelia Samiou, Norbert Peyerimhoff

arxiv:1601.04614 v1 · 2016-01-18 · 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{D4PYPK2JHIVVK222X2MAHU6BWI}

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	2026-05-18T01:22:44.614850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f1f87ab493a2b556b5abe9803d3c1b22222f728410505ec33c2becc6e7b4491

Aliases

arxiv: 1601.04614 · arxiv_version: 1601.04614v1 · doi: 10.48550/arxiv.1601.04614 · pith_short_12: D4PYPK2JHIVV · pith_short_16: D4PYPK2JHIVVK222 · pith_short_8: D4PYPK2J

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/D4PYPK2JHIVVK222X2MAHU6BWI \
  | 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: 1f1f87ab493a2b556b5abe9803d3c1b22222f728410505ec33c2becc6e7b4491

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61f3fae2a8eaa62017f1e70e1583408e30d0b11611163641ccf8985ff4299e32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-01-18T17:17:05Z",
    "title_canon_sha256": "2ed5d40508102c915e366d8fbad38849d8425e823204583a0f341d31d15d53ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04614",
    "kind": "arxiv",
    "version": 1
  }
}