Pith Number

pith:6KJOHK6V

pith:1996:6KJOHK6VB4SB2IFTGRK5JJTJJM

not attested not anchored not stored refs pending

String Duality and Modular Forms

Toshiya Kawai

arxiv:hep-th/9607078 v3 · 1996-07-10 · 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{6KJOHK6VB4SB2IFTGRK5JJTJJM}

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	2026-05-18T01:06:00.696353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f292e3abd50f241d20b33455d4a6694b34b1d1b8648ce2355424394d799378ab

Aliases

arxiv: hep-th/9607078 · arxiv_version: hep-th/9607078v3 · doi: 10.48550/arxiv.hep-th/9607078 · pith_short_12: 6KJOHK6VB4SB · pith_short_16: 6KJOHK6VB4SB2IFT · pith_short_8: 6KJOHK6V

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/6KJOHK6VB4SB2IFTGRK5JJTJJM \
  | 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: f292e3abd50f241d20b33455d4a6694b34b1d1b8648ce2355424394d799378ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6bddfbf5d32e28e4f82f4c6a523e5119ad93065ce1739bd14f9c09162ff5ff2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1996-07-10T05:18:08Z",
    "title_canon_sha256": "b5075244305c3130b910763f1110efc431f99d14419ccbf95bb7bdb032e46a91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9607078",
    "kind": "arxiv",
    "version": 3
  }
}