Pith Number

pith:CQCWNZYG

pith:2018:CQCWNZYGNGPIIWAR7M7ZILTMPB

not attested not anchored not stored refs pending

Refractor surfaces determined by near-field data

Ahmad Sabra, Aram Karakhanyan

arxiv:1810.07094 v1 · 2018-10-16 · 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{CQCWNZYGNGPIIWAR7M7ZILTMPB}

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	2026-05-18T00:03:10.453744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

140566e706699e845811fb3f942e6c78481f72d3c6c1cb0798d4496635dd45f4

Aliases

arxiv: 1810.07094 · arxiv_version: 1810.07094v1 · doi: 10.48550/arxiv.1810.07094 · pith_short_12: CQCWNZYGNGPI · pith_short_16: CQCWNZYGNGPIIWAR · pith_short_8: CQCWNZYG

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/CQCWNZYGNGPIIWAR7M7ZILTMPB \
  | 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: 140566e706699e845811fb3f942e6c78481f72d3c6c1cb0798d4496635dd45f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "139d3cba232a64fa0a2919eefa7f72f6f595a41675dd38e42d15966462a85583",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-16T15:48:17Z",
    "title_canon_sha256": "98badb1c039e2e0d8e89f78ae77db6fe10a9df8fbf0ba826de8450ccab666e28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.07094",
    "kind": "arxiv",
    "version": 1
  }
}