Pith Number

pith:BSXEAEVQ

pith:2009:BSXEAEVQ2FZQJBRSXL4YST2NUP

not attested not anchored not stored refs pending

Invariant generators for generalized distributions

Madeleine Jotz, Tudor S. Ratiu

arxiv:0907.4670 v2 · 2009-07-27 · 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{BSXEAEVQ2FZQJBRSXL4YST2NUP}

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	2026-05-18T04:11:06.198661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cae4012b0d173048632baf9894f4da3d223d8bf46808ff6a1eec55d7c4fb806

Aliases

arxiv: 0907.4670 · arxiv_version: 0907.4670v2 · doi: 10.48550/arxiv.0907.4670 · pith_short_12: BSXEAEVQ2FZQ · pith_short_16: BSXEAEVQ2FZQJBRS · pith_short_8: BSXEAEVQ

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/BSXEAEVQ2FZQJBRSXL4YST2NUP \
  | 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: 0cae4012b0d173048632baf9894f4da3d223d8bf46808ff6a1eec55d7c4fb806

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77e60d5d50ec3b351775620a08bf331104ab2244bd34e2be19624b67c29412bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-07-27T15:52:26Z",
    "title_canon_sha256": "0a8eb2090bea5603eb592717d7869c3cadd9fa092a8b22f0cdadb78da67f518b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4670",
    "kind": "arxiv",
    "version": 2
  }
}