Pith Number

pith:TTMIKNBM

pith:2015:TTMIKNBMEGT2Y4RAYCT42SN5EW

not attested not anchored not stored refs pending

Robust self-trapping of vortex beams in a saturable optical medium

Albert S. Reyna, Boris A. Malomed, Cid B. de Ara\'ujo, Georges Boudebs

arxiv:1511.06009 v2 · 2015-11-18 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TTMIKNBMEGT2Y4RAYCT42SN5EW}

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	2026-05-18T01:20:41.671198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cd885342c21a7ac7220c0a7cd49bd25ae6eb8d772049c296222ea2adabe2289

Aliases

arxiv: 1511.06009 · arxiv_version: 1511.06009v2 · doi: 10.48550/arxiv.1511.06009 · pith_short_12: TTMIKNBMEGT2 · pith_short_16: TTMIKNBMEGT2Y4RA · pith_short_8: TTMIKNBM

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/TTMIKNBMEGT2Y4RAYCT42SN5EW \
  | 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: 9cd885342c21a7ac7220c0a7cd49bd25ae6eb8d772049c296222ea2adabe2289

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3913cfd42a9cbaddb915f7983226423df5d7e76b635a93caa51ebd425e408253",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2015-11-18T22:37:13Z",
    "title_canon_sha256": "49903a4f4890540d08fa2226bab0c73072f466268897e2d3bff28d6576978662"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06009",
    "kind": "arxiv",
    "version": 2
  }
}