pith. sign in
Pith Number

pith:JWVCDKQI

pith:2000:JWVCDKQIVFXTSRBFTIILZ5HD4L
not attested not anchored not stored refs pending

BPS states of curves in Calabi--Yau 3--folds

Jim Bryan, Rahul Pandharipande

arxiv:math/0009025 v3 · 2000-09-03 · math.AG · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JWVCDKQIVFXTSRBFTIILZ5HD4L}

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 2026-05-18T02:38:00.956236Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4daa21aa08a96f3944259a10bcf4e3e2fdc579ed2d11cbb500f9635998454b1f

Aliases

arxiv: math/0009025 · arxiv_version: math/0009025v3 · doi: 10.48550/arxiv.math/0009025 · pith_short_12: JWVCDKQIVFXT · pith_short_16: JWVCDKQIVFXTSRBF · pith_short_8: JWVCDKQI
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JWVCDKQIVFXTSRBFTIILZ5HD4L \
  | 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: 4daa21aa08a96f3944259a10bcf4e3e2fdc579ed2d11cbb500f9635998454b1f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a9a3a8b3f6383b1f56d2c8aec6616c1186af362a807727133d35e801e5b14536",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2000-09-03T03:00:45Z",
    "title_canon_sha256": "9a778c51df53ae4f94bda43321460c5e200c7ad677eb4add848b7b987ed268b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0009025",
    "kind": "arxiv",
    "version": 3
  }
}