Pith Number

pith:NDBKS7D6

pith:1997:NDBKS7D65KVUWEAEQ7TFXXB3VT

not attested not anchored not stored refs pending

Explicit solutions for Point Particles and Black Holes in spaces of constant curvature in 2+1-D Gravity

M. Welling

arxiv:hep-th/9706021 v1 · 1997-06-03 · 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{NDBKS7D65KVUWEAEQ7TFXXB3VT}

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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

Mixed Solutions to the Liouville Equation

Receipt and verification

First computed	2026-07-04T16:05:36.781903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68c2a97c7eeaab4b100487e65bdc3bacfece950a0f2459facdb072cca4e15732

Aliases

arxiv: hep-th/9706021 · arxiv_version: hep-th/9706021v1 · doi: 10.48550/arxiv.hep-th/9706021 · pith_short_12: NDBKS7D65KVU · pith_short_16: NDBKS7D65KVUWEAE · pith_short_8: NDBKS7D6

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/NDBKS7D65KVUWEAEQ7TFXXB3VT \
  | 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: 68c2a97c7eeaab4b100487e65bdc3bacfece950a0f2459facdb072cca4e15732

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e806b219e046b9faf9aa37c5ece3cd70687b939bb03325e9689ac28de9d42b04",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1997-06-03T14:44:00Z",
    "title_canon_sha256": "078dc2cb59f9db7305244f7b169566f98b446f36481fa384f09864adb01757c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9706021",
    "kind": "arxiv",
    "version": 1
  }
}