Pith Number

pith:JYZ64SMM

pith:2021:JYZ64SMMUAGAG6KICQDCD3VF2W

not attested not anchored not stored refs pending

Narain to Narnia

Christoph A. Keller, Hirosi Ooguri, Ida G. Zadeh, Nathan Benjamin

arxiv:2103.15826 v2 · 2021-03-29 · 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{JYZ64SMMUAGAG6KICQDCD3VF2W}

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

M\"obius randomness in the Hartle-Hawking state

Receipt and verification

First computed	2026-07-05T05:07:33.096307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e33ee498ca00c037948140621eea5d5b85efab4f3f933cc3d82957f036643f9

Aliases

arxiv: 2103.15826 · arxiv_version: 2103.15826v2 · doi: 10.48550/arxiv.2103.15826 · pith_short_12: JYZ64SMMUAGA · pith_short_16: JYZ64SMMUAGAG6KI · pith_short_8: JYZ64SMM

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/JYZ64SMMUAGAG6KICQDCD3VF2W \
  | 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: 4e33ee498ca00c037948140621eea5d5b85efab4f3f933cc3d82957f036643f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25d4ba4b7e9a2a89bb480a34b212c5b17e39b3473ed1824e942dc107a8948e43",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-03-29T18:00:00Z",
    "title_canon_sha256": "7c464c14869d3487bd85813ad0e991e78267953f1bee4f2b6a061be3b8406103"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.15826",
    "kind": "arxiv",
    "version": 2
  }
}