Pith Number

pith:Q3JBWEBW

pith:2015:Q3JBWEBWRMNFPKOLNCCXA5OI4N

not attested not anchored not stored refs pending

Torus localization and wall crossing for cosection localized virtual cycles

Huai-Liang Chang, Jun Li, Young-Hoon Kiem

arxiv:1502.00078 v1 · 2015-01-31 · 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{Q3JBWEBWRMNFPKOLNCCXA5OI4N}

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	2026-05-18T02:28:12.858573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86d21b10368b1a57a9cb68857075c8e37fbd3d30d1803fe5d9e66e81ec443d5d

Aliases

arxiv: 1502.00078 · arxiv_version: 1502.00078v1 · doi: 10.48550/arxiv.1502.00078 · pith_short_12: Q3JBWEBWRMNF · pith_short_16: Q3JBWEBWRMNFPKOL · pith_short_8: Q3JBWEBW

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/Q3JBWEBWRMNFPKOLNCCXA5OI4N \
  | 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: 86d21b10368b1a57a9cb68857075c8e37fbd3d30d1803fe5d9e66e81ec443d5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cc09d49f26c8e527f298bd1a96f6d0cc3ed6341e05dbd77d05bbf9d08d09c5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-01-31T06:54:33Z",
    "title_canon_sha256": "7ecd0a877b7435127fb7f260428ef66403e6358bc76f3e4b9b5da50c7efc2db3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.00078",
    "kind": "arxiv",
    "version": 1
  }
}