Pith Number

pith:ES32GZID

pith:1993:ES32GZIDUQ5RLMUQG47ZW4ZQ5D

not attested not anchored not stored refs pending

Singular Limits and String Solutions

Alok Kumar, S. Pratik Khastgir

arxiv:hep-th/9311048 v1 · 1993-11-08 · 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{ES32GZIDUQ5RLMUQG47ZW4ZQ5D}

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	2026-07-04T14:32:39.518699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24b7a36503a43b15b290373f9b7330e8c1978d833bcedcb47c7eee59468b0b87

Aliases

arxiv: hep-th/9311048 · arxiv_version: hep-th/9311048v1 · doi: 10.48550/arxiv.hep-th/9311048 · pith_short_12: ES32GZIDUQ5R · pith_short_16: ES32GZIDUQ5RLMUQ · pith_short_8: ES32GZID

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/ES32GZIDUQ5RLMUQG47ZW4ZQ5D \
  | 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: 24b7a36503a43b15b290373f9b7330e8c1978d833bcedcb47c7eee59468b0b87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab1d2f7a6e78c389c940a7d511811656fb507428ce416a2fb056ff3046f8ee4b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1993-11-08T22:23:00Z",
    "title_canon_sha256": "4eb6a31bec88a6755012aaf4f4e18e6cdb742f7fc783df743841f43f8332cff5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9311048",
    "kind": "arxiv",
    "version": 1
  }
}