Pith Number

pith:XSKN4HUK

pith:2016:XSKN4HUKF5XY3YCFU6GLPL76D4

not attested not anchored not stored refs pending

Generalized Brotbek's symmetric differential forms and applications

Song-Yan Xie

arxiv:1601.05133 v1 · 2016-01-19 · 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{XSKN4HUKF5XY3YCFU6GLPL76D4}

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	2026-05-18T01:22:16.039376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc94de1e8a2f6f8de045a78cb7affe1f2aa1d45c3b92568027ad5a98bedc3670

Aliases

arxiv: 1601.05133 · arxiv_version: 1601.05133v1 · doi: 10.48550/arxiv.1601.05133 · pith_short_12: XSKN4HUKF5XY · pith_short_16: XSKN4HUKF5XY3YCF · pith_short_8: XSKN4HUK

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/XSKN4HUKF5XY3YCFU6GLPL76D4 \
  | 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: bc94de1e8a2f6f8de045a78cb7affe1f2aa1d45c3b92568027ad5a98bedc3670

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "058183173e5d7e328108418847d1e54ce01176c73746b556d996504cb01b793f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-01-19T23:33:43Z",
    "title_canon_sha256": "b9cdecb8abbc7d885d9444268e0ca1e8b90a706cd35c4c7d450bc646ddf403f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05133",
    "kind": "arxiv",
    "version": 1
  }
}