Pith Number

pith:OLJB22S2

pith:2013:OLJB22S2ULPQ5U3TBFEXPDZLXU

not attested not anchored not stored refs pending

The Yang-Mills \alpha -flow in vector bundles over four manifolds and its applications

Gang Tian, Hao Yin, Min-Chun Hong

arxiv:1303.0628 v1 · 2013-03-04 · math.DG · 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{OLJB22S2ULPQ5U3TBFEXPDZLXU}

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	2026-05-18T03:31:55.413462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72d21d6a5aa2df0ed3730949778f2bbd10ebd37c3ebf8c27f5548f8ac48a6774

Aliases

arxiv: 1303.0628 · arxiv_version: 1303.0628v1 · doi: 10.48550/arxiv.1303.0628 · pith_short_12: OLJB22S2ULPQ · pith_short_16: OLJB22S2ULPQ5U3T · pith_short_8: OLJB22S2

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/OLJB22S2ULPQ5U3TBFEXPDZLXU \
  | 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: 72d21d6a5aa2df0ed3730949778f2bbd10ebd37c3ebf8c27f5548f8ac48a6774

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c121fbb3f9d36532c2ab990e98436fd16862a209b986228c2b153c1c0b81e56",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-03-04T07:50:16Z",
    "title_canon_sha256": "70d5630ffca67944472a376873726d94b81111b9007a931d39b430b5c437207f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0628",
    "kind": "arxiv",
    "version": 1
  }
}