Pith Number

pith:ZWJHWBWB

pith:2010:ZWJHWBWBKKHP57QUIDMJG4V2LU

not attested not anchored not stored refs pending

Compactification on negatively curved manifolds

Michael R. Douglas, Renata Kallosh

arxiv:1001.4008 v3 · 2010-01-22 · 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{ZWJHWBWBKKHP57QUIDMJG4V2LU}

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	2026-05-18T02:33:49.353563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd927b06c1528efefe1440d89372ba5d17aec8140fb890fc86b1e9d14cbcf7b0

Aliases

arxiv: 1001.4008 · arxiv_version: 1001.4008v3 · doi: 10.48550/arxiv.1001.4008 · pith_short_12: ZWJHWBWBKKHP · pith_short_16: ZWJHWBWBKKHP57QU · pith_short_8: ZWJHWBWB

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/ZWJHWBWBKKHP57QUIDMJG4V2LU \
  | 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: cd927b06c1528efefe1440d89372ba5d17aec8140fb890fc86b1e9d14cbcf7b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16e49fa3527c73fa628b453102e1a33a8cc16aef4e60b444695e008987626c75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-01-22T15:06:38Z",
    "title_canon_sha256": "3308a412a7c7cc8c18c6e11bc1d0bf3953a43246dfd755fd1f77ded702866a8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.4008",
    "kind": "arxiv",
    "version": 3
  }
}