Pith Number

pith:6TTLIDDC

pith:2007:6TTLIDDC4UW24BNMXO3Z2HQBGF

not attested not anchored not stored refs pending

The Jacobian as a measure of planar dose congruence

L.D. Paniak, P.M. Charland

arxiv:0712.1075 v1 · 2007-12-07 · physics.med-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6TTLIDDC4UW24BNMXO3Z2HQBGF}

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	2026-05-18T02:16:08.715016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4e6b40c62e52dae05acbbb79d1e01317255a3d623afc5d7b2ef8c2b87e08c93

Aliases

arxiv: 0712.1075 · arxiv_version: 0712.1075v1 · doi: 10.48550/arxiv.0712.1075 · pith_short_12: 6TTLIDDC4UW2 · pith_short_16: 6TTLIDDC4UW24BNM · pith_short_8: 6TTLIDDC

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/6TTLIDDC4UW24BNMXO3Z2HQBGF \
  | 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: f4e6b40c62e52dae05acbbb79d1e01317255a3d623afc5d7b2ef8c2b87e08c93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7920ba8af49753a264330deb38a459e198d6f39097b199ddb830bf1fbeca76c4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "physics.med-ph",
    "submitted_at": "2007-12-07T03:57:25Z",
    "title_canon_sha256": "cdf6a54d33dbf9d1369d939ad4dc485e04bb5927099f484898d1541d364db246"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.1075",
    "kind": "arxiv",
    "version": 1
  }
}