Pith Number

pith:O34AZTNU

pith:2011:O34AZTNUCDBEOROLIYO6R6NEM2

not attested not anchored not stored refs pending

Mode resolved travel time statistics for elastic rays in three-dimensional billiards

Adrian Ortega, Kevin Stringlo, Thomas Gorin

arxiv:1110.2578 v2 · 2011-10-12 · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O34AZTNUCDBEOROLIYO6R6NEM2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:40:38.721630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76f80ccdb410c24745cb461de8f9a466b1f8d39e64c4070565061d25cc66cef0

Aliases

arxiv: 1110.2578 · arxiv_version: 1110.2578v2 · doi: 10.48550/arxiv.1110.2578 · pith_short_12: O34AZTNUCDBE · pith_short_16: O34AZTNUCDBEOROL · pith_short_8: O34AZTNU

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/O34AZTNUCDBEOROLIYO6R6NEM2 \
  | 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: 76f80ccdb410c24745cb461de8f9a466b1f8d39e64c4070565061d25cc66cef0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d34788099b141171328261d959666a490a56a4129432b5b8ed337885b025f76c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2011-10-12T06:40:49Z",
    "title_canon_sha256": "74ffafc53342169fa7ce2c285e9adf1c40bb6802f059dd3adc20f7920eaf19ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2578",
    "kind": "arxiv",
    "version": 2
  }
}