Pith Number

pith:ISDQGRNX

pith:2014:ISDQGRNXNM6QU674N3ESGAJF7E

not attested not anchored not stored refs pending

An inverse problem for the refractive surfaces with parallel lighting

Aram Karakhanyan

arxiv:1403.2454 v5 · 2014-03-11 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ISDQGRNXNM6QU674N3ESGAJF7E}

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	2026-05-18T01:23:45.484887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44870345b76b3d0a7bfc6ec9230125f9205ded19365ce8849331cd8cc200af04

Aliases

arxiv: 1403.2454 · arxiv_version: 1403.2454v5 · doi: 10.48550/arxiv.1403.2454 · pith_short_12: ISDQGRNXNM6Q · pith_short_16: ISDQGRNXNM6QU674 · pith_short_8: ISDQGRNX

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/ISDQGRNXNM6QU674N3ESGAJF7E \
  | 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: 44870345b76b3d0a7bfc6ec9230125f9205ded19365ce8849331cd8cc200af04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe7166b9b612b0990f57545bff0a2b64bb60ee16cd7075ee57aae303e5f84a3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-03-11T01:35:04Z",
    "title_canon_sha256": "c7852ebbc46ec1c2c8ee8227eb5a934aa624a189f617770b2556cc6b60369799"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.2454",
    "kind": "arxiv",
    "version": 5
  }
}