Pith Number

pith:Y2TOYEY4

pith:2025:Y2TOYEY4MMEM553QV2RMMA6TKX

not attested not anchored not stored refs pending

Toric Mirror Symmetry for Homotopy Theorists

Qingyuan Bai, Yuxuan Hu

arxiv:2501.06649 v1 · 2025-01-11 · math.AG · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y2TOYEY4MMEM553QV2RMMA6TKX}

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.

Cited by

1 paper in Pith

An obstruction to lifting schemes to spectral schemes

Receipt and verification

First computed	2026-07-05T10:00:07.821176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6a6ec131c6308cef770aea2c603d355d2a3e82c91fa6eb11a43b3b794aa9bdb

Aliases

arxiv: 2501.06649 · arxiv_version: 2501.06649v1 · doi: 10.48550/arxiv.2501.06649 · pith_short_12: Y2TOYEY4MMEM · pith_short_16: Y2TOYEY4MMEM553Q · pith_short_8: Y2TOYEY4

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/Y2TOYEY4MMEM553QV2RMMA6TKX \
  | 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: c6a6ec131c6308cef770aea2c603d355d2a3e82c91fa6eb11a43b3b794aa9bdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56b5f18b4c26c4934b926f8d1c4aed9d3f35b256fc75cf3130ec1ea9ac165571",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-01-11T22:06:57Z",
    "title_canon_sha256": "bfe63df74389d068f947fa148f23bbe1914a1084a84448440aebf9297ac246bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.06649",
    "kind": "arxiv",
    "version": 1
  }
}