Pith Number

pith:NYQ3ITYO

pith:2012:NYQ3ITYOQDGDZE3QCDRMCWJN5P

not attested not anchored not stored refs pending

Finite energy global well-posedness of the Yang-Mills equations on $\mathbb{R}^{1+3}$: An approach using the Yang-Mills heat flow

Sung-Jin Oh

arxiv:1210.1557 v2 · 2012-10-04 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NYQ3ITYOQDGDZE3QCDRMCWJN5P}

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	2026-05-18T01:28:21.535733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e21b44f0e80cc3c937010e2c1592debfc42fac3a7538539a29cebdcb54ef1e2

Aliases

arxiv: 1210.1557 · arxiv_version: 1210.1557v2 · doi: 10.48550/arxiv.1210.1557 · pith_short_12: NYQ3ITYOQDGD · pith_short_16: NYQ3ITYOQDGDZE3Q · pith_short_8: NYQ3ITYO

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/NYQ3ITYOQDGDZE3QCDRMCWJN5P \
  | 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: 6e21b44f0e80cc3c937010e2c1592debfc42fac3a7538539a29cebdcb54ef1e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c329ee8e88c9d66b45bf39cb6e14f30bd9eb22b3c86ae85f74f95eb9123287ae",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-04T19:37:18Z",
    "title_canon_sha256": "a5f49883322ef3872f61cc4dcf16c2a786321b574dd5215e324d9b59f0751fb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1557",
    "kind": "arxiv",
    "version": 2
  }
}