Pith Number

pith:BT37AGI4

pith:2026:BT37AGI45W2KVORBBRBH6JZFZ7

not attested not anchored not stored refs pending

A non-holomorphic P=W phenomenon

Zili Zhang

arxiv:2607.26806 v1 · 2026-07-29 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BT37AGI45W2KVORBBRBH6JZFZ7}

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	2026-07-30T01:22:23.342509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

0cf7f0191cedb4aaba210c427f2725cfdac6b43c26acb4e0da853ce55a233d06

Aliases

arxiv: 2607.26806 · arxiv_version: 2607.26806v1 · doi: 10.48550/arxiv.2607.26806 · pith_short_12: BT37AGI45W2K · pith_short_16: BT37AGI45W2KVORB · pith_short_8: BT37AGI4

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/BT37AGI45W2KVORBBRBH6JZFZ7 \
  | 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: 0cf7f0191cedb4aaba210c427f2725cfdac6b43c26acb4e0da853ce55a233d06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2456eaa7b0520d02eeba3c870f1f92954b63aa69323435a343d1a36088f4ea8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-29T11:48:43Z",
    "title_canon_sha256": "644fff44059749a567cb5f5b7bc05db5780d3a2b28341bf4b4423cf9b4924704"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26806",
    "kind": "arxiv",
    "version": 1
  }
}