Pith Number

pith:MATCP5WL

pith:2011:MATCP5WLKS2Y3LWSP3YSVIN773

not attested not anchored not stored refs pending

Birth and Growth of Two-dimensional Universe

Tetsuyuki Yukawa

arxiv:1104.5290 v2 · 2011-04-28 · gr-qc · 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{MATCP5WLKS2Y3LWSP3YSVIN773}

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	2026-05-18T02:02:13.746827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

602627f6cb54b58daed27ef12aa1bffedd458db781dbf4a951724dcbfd6a50e6

Aliases

arxiv: 1104.5290 · arxiv_version: 1104.5290v2 · doi: 10.48550/arxiv.1104.5290 · pith_short_12: MATCP5WLKS2Y · pith_short_16: MATCP5WLKS2Y3LWS · pith_short_8: MATCP5WL

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/MATCP5WLKS2Y3LWSP3YSVIN773 \
  | 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: 602627f6cb54b58daed27ef12aa1bffedd458db781dbf4a951724dcbfd6a50e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "262a7c6f61dc92f71c611d14131efd7ac547e74a6e0bbfc558ae7ab0bfb8c279",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-04-28T03:58:35Z",
    "title_canon_sha256": "4caa6e2fd7c6cd9756b10f56ccd181754d27b93b4eb883133b3bfee7b054e569"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5290",
    "kind": "arxiv",
    "version": 2
  }
}