Pith Number

pith:O54FTOWA

pith:2014:O54FTOWAVXCL6XVDXTVDCQKPKW

not attested not anchored not stored refs pending

Global existence and convergence of solutions to gradient systems and applications to Yang-Mills gradient flow

Paul M. N. Feehan

arxiv:1409.1525 v4 · 2014-09-04 · math.DG · math-ph · math.AP · 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{O54FTOWAVXCL6XVDXTVDCQKPKW}

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	2026-05-18T01:02:14.165797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

777859bac0adc4bf5ea3bcea31414f55bf63b26223959486dd1f5f9e3cc63af6

Aliases

arxiv: 1409.1525 · arxiv_version: 1409.1525v4 · doi: 10.48550/arxiv.1409.1525 · pith_short_12: O54FTOWAVXCL · pith_short_16: O54FTOWAVXCL6XVD · pith_short_8: O54FTOWA

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/O54FTOWAVXCL6XVDXTVDCQKPKW \
  | 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: 777859bac0adc4bf5ea3bcea31414f55bf63b26223959486dd1f5f9e3cc63af6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d032d74ab4a45a0864189d0d8e5d43e30a30f8fdbc6969ee1b902c55a5d79881",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-09-04T18:47:06Z",
    "title_canon_sha256": "2683ccdd0dab9b153837f0de2523b01f8cfbb7151e3c47adf58059fd96309cdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1525",
    "kind": "arxiv",
    "version": 4
  }
}