Pith Number

pith:3VQUSVU6

pith:2015:3VQUSVU6A3F5UAAIKLPTJWBT5Q

not attested not anchored not stored refs pending

The domain geometry and the bubbling phenomenon of rank two Gauge theory

Hsin-Yuan Huang, Lei Zhang

arxiv:1510.07055 v2 · 2015-10-23 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3VQUSVU6A3F5UAAIKLPTJWBT5Q}

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	2026-05-18T01:10:52.201420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd6149569e06cbda000852df34d833ec3be9ebe62b18fc320f4d160e4f75c111

Aliases

arxiv: 1510.07055 · arxiv_version: 1510.07055v2 · doi: 10.48550/arxiv.1510.07055 · pith_short_12: 3VQUSVU6A3F5 · pith_short_16: 3VQUSVU6A3F5UAAI · pith_short_8: 3VQUSVU6

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/3VQUSVU6A3F5UAAIKLPTJWBT5Q \
  | 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: dd6149569e06cbda000852df34d833ec3be9ebe62b18fc320f4d160e4f75c111

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b1268e63391e6beb31eb177e866215d09e5043470e26d8ea63262f72d8fa46e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-23T20:30:04Z",
    "title_canon_sha256": "98128b4c1a3764e2c5dd6d2b8c7e3fa92b5a7c51203ac88530eaeed8c2762e51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07055",
    "kind": "arxiv",
    "version": 2
  }
}