Pith Number

pith:32MH5VXA

pith:2018:32MH5VXAPHBGQOFB574KGYWTUK

not attested not anchored not stored refs pending

The Structure of BPS Equations for Ambi-polar Microstate Geometries

Alexander Tyukov, Nicholas P. Warner, Robert Walker

arxiv:1807.06596 v2 · 2018-07-17 · hep-th · math-ph · 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{32MH5VXAPHBGQOFB574KGYWTUK}

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	2026-05-17T23:45:37.519580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de987ed6e079c26838a1eff8a362d3a2887345702f8606cb336bda2076433abf

Aliases

arxiv: 1807.06596 · arxiv_version: 1807.06596v2 · doi: 10.48550/arxiv.1807.06596 · pith_short_12: 32MH5VXAPHBG · pith_short_16: 32MH5VXAPHBGQOFB · pith_short_8: 32MH5VXA

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/32MH5VXAPHBGQOFB574KGYWTUK \
  | 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: de987ed6e079c26838a1eff8a362d3a2887345702f8606cb336bda2076433abf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd09337febedf282fbd1955e3c7d6cc97378efbddfa5cca1faf5c2c78091c63c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-07-17T18:00:01Z",
    "title_canon_sha256": "d2b6f7e707d08826911a1251d94ae207f4299248994d80dd0d02c2c6aed6367e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.06596",
    "kind": "arxiv",
    "version": 2
  }
}