Pith Number

pith:R4GJJ4US

pith:2015:R4GJJ4USVS7PHBXC3ISZQP3YVG

not attested not anchored not stored refs pending

On the inverse problem of finding cosmic strings and other topological defects

Gunther Uhlmann, Lauri Oksanen, Matti Lassas, Plamen Stefanov

arxiv:1505.03123 v1 · 2015-05-12 · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R4GJJ4USVS7PHBXC3ISZQP3YVG}

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	2026-05-18T02:14:08.920008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f0c94f292acbef386e2da25983f78a9bf269d4d7fbcd4777026e68d2682194d

Aliases

arxiv: 1505.03123 · arxiv_version: 1505.03123v1 · doi: 10.48550/arxiv.1505.03123 · pith_short_12: R4GJJ4USVS7P · pith_short_16: R4GJJ4USVS7PHBXC · pith_short_8: R4GJJ4US

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/R4GJJ4USVS7PHBXC3ISZQP3YVG \
  | 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: 8f0c94f292acbef386e2da25983f78a9bf269d4d7fbcd4777026e68d2682194d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c473267e0dd47bd47e10f97755d0ce31192134b4ae4c0ff361ac17f289d7f260",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-05-12T19:14:32Z",
    "title_canon_sha256": "4e9430e82f143394b2aaa0f49475ae3b074b98620ca32c6c5da5d24b9a6907d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03123",
    "kind": "arxiv",
    "version": 1
  }
}