Pith Number

pith:O7TP7FAL

pith:2018:O7TP7FALWURJ4YNQSPWIVCTXCA

not attested not anchored not stored refs pending

Gluing Localized Mirror Functors

Cheol-Hyun Cho, Hansol Hong, Siu-Cheong Lau

arxiv:1810.02045 v1 · 2018-10-04 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O7TP7FALWURJ4YNQSPWIVCTXCA}

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	2026-05-18T00:04:06.470387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77e6ff940bb5229e61b093ec8a8a77102e7c01fb829f07154be420734d34cd78

Aliases

arxiv: 1810.02045 · arxiv_version: 1810.02045v1 · doi: 10.48550/arxiv.1810.02045 · pith_short_12: O7TP7FALWURJ · pith_short_16: O7TP7FALWURJ4YNQ · pith_short_8: O7TP7FAL

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/O7TP7FALWURJ4YNQSPWIVCTXCA \
  | 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: 77e6ff940bb5229e61b093ec8a8a77102e7c01fb829f07154be420734d34cd78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ba90b4ada4b7b555c517d7950aeabd823509bd78b071b7259588100231c1b12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2018-10-04T03:54:07Z",
    "title_canon_sha256": "5d84bd21598d8da76324546616377d457a42b9676048729c23a72eafe4f09365"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.02045",
    "kind": "arxiv",
    "version": 1
  }
}