Pith Number

pith:SDNVGBF4

pith:2011:SDNVGBF42SWYNE5XCYM4KJ625V

not attested not anchored not stored refs pending

Polynomial Bridgeland Stable Objects and Reflexive Sheaves

Jason Lo

arxiv:1112.4511 v2 · 2011-12-19 · 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{SDNVGBF42SWYNE5XCYM4KJ625V}

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	2026-05-18T03:49:35.741747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90db5304bcd4ad8693b71619c527daed59014279d9c6f4de38ca494522c0d35c

Aliases

arxiv: 1112.4511 · arxiv_version: 1112.4511v2 · doi: 10.48550/arxiv.1112.4511 · pith_short_12: SDNVGBF42SWY · pith_short_16: SDNVGBF42SWYNE5X · pith_short_8: SDNVGBF4

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/SDNVGBF42SWYNE5XCYM4KJ625V \
  | 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: 90db5304bcd4ad8693b71619c527daed59014279d9c6f4de38ca494522c0d35c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72e387168457823acc1dae7e5191967a4f76c6357e8a7af6c353c7dd3dc2e3ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-12-19T22:02:08Z",
    "title_canon_sha256": "52ef5ba3033663234f6f1f39cf8b36b66e9bedf06f3a092504a66563c9c14bd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4511",
    "kind": "arxiv",
    "version": 2
  }
}