Pith Number

pith:V4Q7PY2X

pith:2010:V4Q7PY2XPQCWKYMJVDHYHASGZF

not attested not anchored not stored refs pending

Modal dynamics in multimode fibers

Asher A. Friesem, Haim Suchowski, Micha Nixon, Moti Fridman, Nir Davidson

arxiv:1012.1207 v2 · 2010-12-06 · 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{V4Q7PY2XPQCWKYMJVDHYHASGZF}

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	2026-05-18T02:23:15.317979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af21f7e3577c05656189a8cf838246c95f7f74f06b1b7f6b0a262e6ea321b8e8

Aliases

arxiv: 1012.1207 · arxiv_version: 1012.1207v2 · doi: 10.48550/arxiv.1012.1207 · pith_short_12: V4Q7PY2XPQCW · pith_short_16: V4Q7PY2XPQCWKYMJ · pith_short_8: V4Q7PY2X

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/V4Q7PY2XPQCWKYMJVDHYHASGZF \
  | 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: af21f7e3577c05656189a8cf838246c95f7f74f06b1b7f6b0a262e6ea321b8e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9fb99cffe583470b9873bc2d8f9aff3c98be8afc06d92309281933eb8cb7db0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2010-12-06T15:48:25Z",
    "title_canon_sha256": "07f9121962eb72a338bce7599de1635d5b6c3cbb4e58e71ede64b1e6c3826f68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1207",
    "kind": "arxiv",
    "version": 2
  }
}