Pith Number

pith:7X5RJ2NK

pith:2009:7X5RJ2NKLTBDSKZ5HIH4G2LPD6

not attested not anchored not stored refs pending

An Atlas of Predicted Exotic Gravitational Lenses

Gilles Orban De Xivry, Phil Marshall

arxiv:0904.1454 v3 · 2009-04-09 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7X5RJ2NKLTBDSKZ5HIH4G2LPD6}

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	2026-05-18T02:14:06.775288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdfb14e9aa5cc2392b3d3a0fc3696f1f8278773e9ded9a0f227fcbc83a21eb1b

Aliases

arxiv: 0904.1454 · arxiv_version: 0904.1454v3 · doi: 10.48550/arxiv.0904.1454 · pith_short_12: 7X5RJ2NKLTBD · pith_short_16: 7X5RJ2NKLTBDSKZ5 · pith_short_8: 7X5RJ2NK

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/7X5RJ2NKLTBDSKZ5HIH4G2LPD6 \
  | 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: fdfb14e9aa5cc2392b3d3a0fc3696f1f8278773e9ded9a0f227fcbc83a21eb1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "291b42ea9468f4424d5934d6e7b504f0b50fcdd0b6c78fb7b33e33523a63ce57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-04-09T05:25:37Z",
    "title_canon_sha256": "5598996b07e385d1fc5297f380c0a8f401d86263aaa2bf92ca2e72c363b171c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.1454",
    "kind": "arxiv",
    "version": 3
  }
}