Pith Number

pith:FAFXTAR3

pith:2012:FAFXTAR3HP5TEER6UPXHR53WS6

not attested not anchored not stored refs pending

Nonlinear Propagation in Multimode and Multicore Fibers: Generalization of the Manakov Equations

Govind P. Agrawal, Ren\'e-Jean Essiambre, Sami Mumtaz

arxiv:1207.6645 v1 · 2012-07-27 · 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{FAFXTAR3HP5TEER6UPXHR53WS6}

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	2026-05-18T01:56:06.502047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

280b79823b3bfb32123ea3ee78f7769791e303aeed25763ab481c775c82e1711

Aliases

arxiv: 1207.6645 · arxiv_version: 1207.6645v1 · doi: 10.48550/arxiv.1207.6645 · pith_short_12: FAFXTAR3HP5T · pith_short_16: FAFXTAR3HP5TEER6 · pith_short_8: FAFXTAR3

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/FAFXTAR3HP5TEER6UPXHR53WS6 \
  | 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: 280b79823b3bfb32123ea3ee78f7769791e303aeed25763ab481c775c82e1711

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b15e1ff156001de05097f196abc8b98dedeee8e5a6d6bcf0e5ebd211cd3525f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2012-07-27T20:16:42Z",
    "title_canon_sha256": "72ca447f9b0f621bd28ead2b003f3c13d06c56b2daef78d00c8b781fab04396c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6645",
    "kind": "arxiv",
    "version": 1
  }
}