Pith Number

pith:ZO6FQSYI

pith:1999:ZO6FQSYI3ATH2HRBLRCVXQZGPK

not attested not anchored not stored refs pending

Supersolutions

Daniel S. Freed, Pierre Deligne

arxiv:hep-th/9901094 v1 · 1999-01-20 · hep-th · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZO6FQSYI3ATH2HRBLRCVXQZGPK}

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

Spectral Networks: Bridging higher-rank Teichm\"uller theory and BPS states

Receipt and verification

First computed	2026-07-04T14:33:19.627595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbbc584b08d8267d1e215c455bc3267a83a3e153d3b089551baeb2ee711a63fd

Aliases

arxiv: hep-th/9901094 · arxiv_version: hep-th/9901094v1 · doi: 10.48550/arxiv.hep-th/9901094 · pith_short_12: ZO6FQSYI3ATH · pith_short_16: ZO6FQSYI3ATH2HRB · pith_short_8: ZO6FQSYI

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/ZO6FQSYI3ATH2HRBLRCVXQZGPK \
  | 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: cbbc584b08d8267d1e215c455bc3267a83a3e153d3b089551baeb2ee711a63fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a11e60e7274405980465537fb9448eeb508b0fb068f6f29b072fd8e3f6bc6a76",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-01-20T23:25:33Z",
    "title_canon_sha256": "45926f1faa1477174c66109b2c044b534828b807e6675f9e92fe828705f91fa0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9901094",
    "kind": "arxiv",
    "version": 1
  }
}