Pith Number

pith:NQMNPQZF

pith:2017:NQMNPQZF4A3IUW2V27GRFHBHCP

not attested not anchored not stored refs pending

Modular crossings, OPE coefficients and black holes

Diptarka Das, Shouvik Datta, Sridip Pal

arxiv:1712.01842 v3 · 2017-12-05 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NQMNPQZF4A3IUW2V27GRFHBHCP}

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	2026-05-17T23:59:09.988062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c18d7c325e0368a5b55d7cd129c2713c2b195d13e525ecfcaa2c589b8ec6f0b

Aliases

arxiv: 1712.01842 · arxiv_version: 1712.01842v3 · doi: 10.48550/arxiv.1712.01842 · pith_short_12: NQMNPQZF4A3I · pith_short_16: NQMNPQZF4A3IUW2V · pith_short_8: NQMNPQZF

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/NQMNPQZF4A3IUW2V27GRFHBHCP \
  | 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: 6c18d7c325e0368a5b55d7cd129c2713c2b195d13e525ecfcaa2c589b8ec6f0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28fbbeb0a6f9d7b5c16864c5ed9c1694114b2b58839984eba48db45ffd07c0c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2017-12-05T19:00:01Z",
    "title_canon_sha256": "d15af70666e91e7635bee850ed9f2d6e8967f18df6c486665f02da7e9462ba45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.01842",
    "kind": "arxiv",
    "version": 3
  }
}