Pith Number

pith:75HWTCKO

pith:2001:75HWTCKOS7RSRWFCYCEXGGHZJ3

not attested not anchored not stored refs pending

The Witten Index Beyond the Adiabatic Approximation

Pierre van Baal

arxiv:hep-th/0112072 v2 · 2001-12-10 · 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{75HWTCKOS7RSRWFCYCEXGGHZJ3}

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	2026-05-18T00:57:19.214513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff4f69894e97e328d8a2c0897318f94ec372004aeece81471c189ff254716c8b

Aliases

arxiv: hep-th/0112072 · arxiv_version: hep-th/0112072v2 · doi: 10.48550/arxiv.hep-th/0112072 · pith_short_12: 75HWTCKOS7RS · pith_short_16: 75HWTCKOS7RSRWFC · pith_short_8: 75HWTCKO

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/75HWTCKOS7RSRWFCYCEXGGHZJ3 \
  | 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: ff4f69894e97e328d8a2c0897318f94ec372004aeece81471c189ff254716c8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbd01f4dacf5f9e1cbeba399a5d555c093baee2159b1a24d40b730b229eff5b5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2001-12-10T13:13:31Z",
    "title_canon_sha256": "b65ab2c1c8d4d95a364646749df6a03c491b3f16c57202accf3d25927cd76188"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0112072",
    "kind": "arxiv",
    "version": 2
  }
}