Pith Number

pith:3VBP4WDW

pith:1996:3VBP4WDW2XFGTPIR42D7VHIXDB

not attested not anchored not stored refs pending

Physical Interpretation Of Certain Strong Coupling Singularities

Edward Witten

arxiv:hep-th/9609159 v1 · 1996-09-18 · 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{3VBP4WDW2XFGTPIR42D7VHIXDB}

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	2026-07-04T17:25:47.036714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd42fe5876d5ca69bd11e687fa9d17185e888d5d82446fd245f578d8e6f3913c

Aliases

arxiv: hep-th/9609159 · arxiv_version: hep-th/9609159v1 · doi: 10.48550/arxiv.hep-th/9609159 · pith_short_12: 3VBP4WDW2XFG · pith_short_16: 3VBP4WDW2XFGTPIR · pith_short_8: 3VBP4WDW

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/3VBP4WDW2XFGTPIR42D7VHIXDB \
  | 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: dd42fe5876d5ca69bd11e687fa9d17185e888d5d82446fd245f578d8e6f3913c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de4dd2c4dc57696c622c33e41f4014d2b5725ebdee4e22ad103c67dcee422b47",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1996-09-18T15:54:50Z",
    "title_canon_sha256": "da050c508865da1f0a13f0322aaad827c81e08ead1d31883a7fd93c92f989560"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9609159",
    "kind": "arxiv",
    "version": 1
  }
}