Pith Number

pith:3RR7XG3U

pith:2016:3RR7XG3UKKZY7PKY3QWJQ5IDSZ

not attested not anchored not stored refs pending

What prevents gravitational collapse in string theory?

Samir D. Mathur

arxiv:1609.05222 v1 · 2016-09-16 · hep-th · 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{3RR7XG3UKKZY7PKY3QWJQ5IDSZ}

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

Blackish Holes

Receipt and verification

First computed	2026-05-18T00:59:19.237563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc63fb9b7452b38fbd58dc2c9875039642c3befb06d7d6cb726687865af05674

Aliases

arxiv: 1609.05222 · arxiv_version: 1609.05222v1 · doi: 10.48550/arxiv.1609.05222 · pith_short_12: 3RR7XG3UKKZY · pith_short_16: 3RR7XG3UKKZY7PKY · pith_short_8: 3RR7XG3U

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/3RR7XG3UKKZY7PKY3QWJQ5IDSZ \
  | 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: dc63fb9b7452b38fbd58dc2c9875039642c3befb06d7d6cb726687865af05674

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebceafb0572830a0c407da9b7bf96bd7c699d58735b49104f7a7b2c5a05de030",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-09-16T20:26:36Z",
    "title_canon_sha256": "5a88298e6fbf1ab82cce5988beb59bad13bd799143bb72dcd62101925bf21f32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05222",
    "kind": "arxiv",
    "version": 1
  }
}