Pith Number

pith:IBAH6NPB

pith:2012:IBAH6NPBB6H55ATUTZDTWARJKS

not attested not anchored not stored refs pending

On the degree of caustics of reflection

Alfrederic Josse, Francoise Pene

arxiv:1201.0621 v2 · 2012-01-03 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IBAH6NPBB6H55ATUTZDTWARJKS}

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	2026-05-18T03:53:06.977340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40407f35e10f8fde82749e473b022954b0854e5246e02d3a81c3d0ca8d9a7cad

Aliases

arxiv: 1201.0621 · arxiv_version: 1201.0621v2 · doi: 10.48550/arxiv.1201.0621 · pith_short_12: IBAH6NPBB6H5 · pith_short_16: IBAH6NPBB6H55ATU · pith_short_8: IBAH6NPB

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/IBAH6NPBB6H55ATUTZDTWARJKS \
  | 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: 40407f35e10f8fde82749e473b022954b0854e5246e02d3a81c3d0ca8d9a7cad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58939bf4ccb8a096ceca58372bc35b221eddfef286fab8e2e05b903d7b964ad7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-01-03T13:01:35Z",
    "title_canon_sha256": "3a130d0c77e1632d547c072f2ee79c44f2ed017ea05b0d7be1f8bc470e944141"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0621",
    "kind": "arxiv",
    "version": 2
  }
}