Pith Number

pith:SIKUS6TP

pith:1999:SIKUS6TP4IBBYGBZXGFMCAJGT4

not attested not anchored not stored refs pending

Duality Relations Among Topological Effects In String Theory

Edward Witten

arxiv:hep-th/9912086 v3 · 1999-12-10 · 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{SIKUS6TP4IBBYGBZXGFMCAJGT4}

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.

Cited by

1 paper in Pith

Dai-Freed anomalies and level matching in heterotic asymmetric orbifolds

Receipt and verification

First computed	2026-07-04T17:25:47.528377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9215497a6fe2021c1839b98ac101269f0cd1a8458ee9bba6f939d47834995671

Aliases

arxiv: hep-th/9912086 · arxiv_version: hep-th/9912086v3 · doi: 10.48550/arxiv.hep-th/9912086 · pith_short_12: SIKUS6TP4IBB · pith_short_16: SIKUS6TP4IBBYGBZ · pith_short_8: SIKUS6TP

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/SIKUS6TP4IBBYGBZXGFMCAJGT4 \
  | 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: 9215497a6fe2021c1839b98ac101269f0cd1a8458ee9bba6f939d47834995671

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1be52ba9e8b802ca47e70bc3e99d82ef567f4e8e6e17708b77f265b262b9387f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-12-10T08:10:26Z",
    "title_canon_sha256": "cd8c7ea6b1817c8363ac72c7e4471f6216defaa3888ce4e57b99f7ff8f1df6ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9912086",
    "kind": "arxiv",
    "version": 3
  }
}