Pith Number

pith:UPZBMRHS

pith:1993:UPZBMRHSUJEVFKC3RP22MLK5MT

not attested not anchored not stored refs pending

Time-Dependent Open String Solutions in 2+1 Dimensional Gravity

Hai Ren

arxiv:gr-qc/9312018 v2 · 1993-12-10 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UPZBMRHSUJEVFKC3RP22MLK5MT}

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	2026-05-18T04:37:57.362983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3f21644f2a24952a85b8bf5a62d5d64f32a9aa010f98ff996047ad4b4ed5868

Aliases

arxiv: gr-qc/9312018 · arxiv_version: gr-qc/9312018v2 · doi: 10.48550/arxiv.gr-qc/9312018 · pith_short_12: UPZBMRHSUJEV · pith_short_16: UPZBMRHSUJEVFKC3 · pith_short_8: UPZBMRHS

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/UPZBMRHSUJEVFKC3RP22MLK5MT \
  | 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: a3f21644f2a24952a85b8bf5a62d5d64f32a9aa010f98ff996047ad4b4ed5868

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54346a71defb76e06e7f3530e338c3976f569c2de7a7948e402de74bf1be60a6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1993-12-10T00:58:30Z",
    "title_canon_sha256": "ec9241d2be1ae4c6ef4574b2523a0c7bcf6222f7cd2bb6bf937e9a13ab0e0ec8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9312018",
    "kind": "arxiv",
    "version": 2
  }
}