Pith Number

pith:NKMYWFC4

pith:2005:NKMYWFC4JDNMJ3XZ6ZWRHTVWBY

not attested not anchored not stored refs pending

Cosmic Superstring Gravitational Lensing Phenomena: Predictions for Networks of (p,q) Strings

Benjamin Shlaer, Mark Wyman

arxiv:hep-th/0509177 v1 · 2005-09-22 · hep-th · astro-ph · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NKMYWFC4JDNMJ3XZ6ZWRHTVWBY}

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	2026-05-18T03:24:21.569345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a998b145c48dac4eef9f66d13ceb60e2c857999af9c5193ba0ed0564b923e5a

Aliases

arxiv: hep-th/0509177 · arxiv_version: hep-th/0509177v1 · doi: 10.48550/arxiv.hep-th/0509177 · pith_short_12: NKMYWFC4JDNM · pith_short_16: NKMYWFC4JDNMJ3XZ · pith_short_8: NKMYWFC4

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/NKMYWFC4JDNMJ3XZ6ZWRHTVWBY \
  | 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: 6a998b145c48dac4eef9f66d13ceb60e2c857999af9c5193ba0ed0564b923e5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dd8c056c23ce590a669be8260b3927f6e44a343d4e895f9de292d65e2e54134",
    "cross_cats_sorted": [
      "astro-ph",
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-09-22T17:27:32Z",
    "title_canon_sha256": "e759c1e2c8caeb58ddbc36ab93d3128580f844908af9d40c8cfacc67707be405"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0509177",
    "kind": "arxiv",
    "version": 1
  }
}