Pith Number

pith:PAKAFGN6

pith:2015:PAKAFGN6EYH66KTUNICRVXGK7D

not attested not anchored not stored refs pending

Non-BPS multi-bubble microstate geometries

David Turton, Guillaume Bossard, Iosif Bena, Stefanos Katmadas

arxiv:1511.03669 v1 · 2015-11-11 · 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{PAKAFGN6EYH66KTUNICRVXGK7D}

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	2026-05-18T01:09:57.837401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78140299be260fef2a746a051adccaf8c936ab116fd822f067b9b41fbd0efa96

Aliases

arxiv: 1511.03669 · arxiv_version: 1511.03669v1 · doi: 10.48550/arxiv.1511.03669 · pith_short_12: PAKAFGN6EYH6 · pith_short_16: PAKAFGN6EYH66KTU · pith_short_8: PAKAFGN6

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/PAKAFGN6EYH66KTUNICRVXGK7D \
  | 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: 78140299be260fef2a746a051adccaf8c936ab116fd822f067b9b41fbd0efa96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cae0f422b77f8c1cd6c6354c8e4a9471bf5f4d6ad0ef1f2e98c333d6322198a5",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-11-11T21:00:06Z",
    "title_canon_sha256": "43a4eebc5686ec6344ed77b6c5b792fc79737da2a39f9a2e37b354e2bde711f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03669",
    "kind": "arxiv",
    "version": 1
  }
}