Pith Number

pith:Z4VVSGLD

pith:1991:Z4VVSGLDOHO26JXBWKHQ4PSTHB

not attested not anchored not stored refs pending

Ground Ring Of Two Dimensional String Theory

Edward Witten

arxiv:hep-th/9108004 v1 · 1991-08-16 · 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{Z4VVSGLDOHO26JXBWKHQ4PSTHB}

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	2026-07-04T17:25:46.386221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf2b59196371ddaf26e1b28f0e3e53387d55d3048b335b12b74e05d7c445b1d7

Aliases

arxiv: hep-th/9108004 · arxiv_version: hep-th/9108004v1 · doi: 10.48550/arxiv.hep-th/9108004 · pith_short_12: Z4VVSGLDOHO2 · pith_short_16: Z4VVSGLDOHO26JXB · pith_short_8: Z4VVSGLD

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/Z4VVSGLDOHO26JXBWKHQ4PSTHB \
  | 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: cf2b59196371ddaf26e1b28f0e3e53387d55d3048b335b12b74e05d7c445b1d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20ad9f69e487fc38ed77470d618befae98099ffe202ca9678e2d930c1028f8b8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1991-08-16T19:18:00Z",
    "title_canon_sha256": "32989c17663f5e61b0bd44b4c7af65c084acbc09309a0403bea52deb331030e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9108004",
    "kind": "arxiv",
    "version": 1
  }
}