Pith Number

pith:CZV7Z3YJ

pith:2026:CZV7Z3YJMHGIBZ4W6Q2NAOVUDC

not attested not anchored not stored refs pending

Quiver BPS Indices from Crystal Profiles

Jiakang Bao, Masahito Yamazaki

arxiv:2607.03617 v1 · 2026-07-03 · hep-th · math-ph · math.AG · math.CO · 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{CZV7Z3YJMHGIBZ4W6Q2NAOVUDC}

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	2026-07-07T02:17:57.636845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

166bfcef0961cc80e796f434d03ab418922a84f334e0f56cedd524cfae1ba3e5

Aliases

arxiv: 2607.03617 · arxiv_version: 2607.03617v1 · doi: 10.48550/arxiv.2607.03617 · pith_short_12: CZV7Z3YJMHGI · pith_short_16: CZV7Z3YJMHGIBZ4W · pith_short_8: CZV7Z3YJ

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/CZV7Z3YJMHGIBZ4W6Q2NAOVUDC \
  | 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: 166bfcef0961cc80e796f434d03ab418922a84f334e0f56cedd524cfae1ba3e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e48cb2a420f6399f38bb3476a4a2b476d4dfdbfa7f2527bb5f31254bdd19ecbc",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-03T22:24:01Z",
    "title_canon_sha256": "2b5b673d971a8e10146df5905eaee56c79384f74a58d96f435df1422e3ed61b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03617",
    "kind": "arxiv",
    "version": 1
  }
}