Pith Number

pith:HCP72MPG

pith:2011:HCP72MPG23CDYG27F4UZ5Q2427

not attested not anchored not stored refs pending

Interference Focusing for Simplified Optical Fiber Models with Dispersion

Gerhard Kramer, Hassan Ghozlan

arxiv:1107.2100 v1 · 2011-07-11 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HCP72MPG23CDYG27F4UZ5Q2427}

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	2026-05-18T04:18:33.499563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

389ffd31e6d6c43c1b5f2f299ec35cd7dfb786fdb8ef0d7e88b3d3faf23c5823

Aliases

arxiv: 1107.2100 · arxiv_version: 1107.2100v1 · doi: 10.48550/arxiv.1107.2100 · pith_short_12: HCP72MPG23CD · pith_short_16: HCP72MPG23CDYG27 · pith_short_8: HCP72MPG

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/HCP72MPG23CDYG27F4UZ5Q2427 \
  | 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: 389ffd31e6d6c43c1b5f2f299ec35cd7dfb786fdb8ef0d7e88b3d3faf23c5823

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce6d991a5df100140231e9b1a49d9b245f1ecc959890e6b13ef8259773725153",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-07-11T19:26:55Z",
    "title_canon_sha256": "b34db7b697f8f34d94e635269c55af7c723ba7117d543d2e20cbd878dbafd7c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2100",
    "kind": "arxiv",
    "version": 1
  }
}