Pith Number

pith:4ADMK4UV

pith:2011:4ADMK4UVRSRRSDLOCPFBSEEPPN

not attested not anchored not stored refs pending

Phase structure of fuzzy black holes

Kumar S. Gupta, S. Digal, T. R. Govindarajan, X. Martin

arxiv:1109.4014 v2 · 2011-09-19 · 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{4ADMK4UVRSRRSDLOCPFBSEEPPN}

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	2026-05-18T02:00:29.382620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e006c572958ca3190d6e13ca19108f7b6a48345ba4fce7a73f329240f991bbe0

Aliases

arxiv: 1109.4014 · arxiv_version: 1109.4014v2 · doi: 10.48550/arxiv.1109.4014 · pith_short_12: 4ADMK4UVRSRR · pith_short_16: 4ADMK4UVRSRRSDLO · pith_short_8: 4ADMK4UV

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/4ADMK4UVRSRRSDLOCPFBSEEPPN \
  | 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: e006c572958ca3190d6e13ca19108f7b6a48345ba4fce7a73f329240f991bbe0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "097d508ee71320eaf12952197930b295cdaf7905db2fd15b399330978d7cb73a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-09-19T12:54:35Z",
    "title_canon_sha256": "aea8cf4f9c5506160ce5706be3a01c9d11a0f2b8c0cb8c24a61e2a19b0014232"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4014",
    "kind": "arxiv",
    "version": 2
  }
}