Pith Number

pith:A3BUH4IO

pith:2019:A3BUH4IOX2XV6DEHBV7SSBCYZI

not attested not anchored not stored refs pending

Reflexive sheaves, Hermitian-Yang-Mills connections, and tangent cones

Song Sun, Xuemiao Chen

arxiv:1912.09561 v2 · 2019-12-19 · math.DG · 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{A3BUH4IOX2XV6DEHBV7SSBCYZI}

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	2026-07-05T03:35:57.830584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06c343f10ebeaf5f0c870d7f290458ca0a188f42732ae1c5bb0f1e78fcdb5e9a

Aliases

arxiv: 1912.09561 · arxiv_version: 1912.09561v2 · doi: 10.48550/arxiv.1912.09561 · pith_short_12: A3BUH4IOX2XV · pith_short_16: A3BUH4IOX2XV6DEH · pith_short_8: A3BUH4IO

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/A3BUH4IOX2XV6DEHBV7SSBCYZI \
  | 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: 06c343f10ebeaf5f0c870d7f290458ca0a188f42732ae1c5bb0f1e78fcdb5e9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "302307ae1d8ad24a733b1c0b305760a988e6281ea78210b29ed18f9ee7daba9d",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-12-19T21:57:31Z",
    "title_canon_sha256": "cfa32cefbff473cc4f9fc5bf6420817a3b799a0b3d15150b3d2b81593d1c2c60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.09561",
    "kind": "arxiv",
    "version": 2
  }
}