Pith Number

pith:HJ5TTAT5

pith:2026:HJ5TTAT5P6RCARZU3NPS7I42B4

not attested not anchored not stored refs pending

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity

Jiajie Chen, Thomas Y. Hou

arxiv:2607.15256 v1 · 2026-07-16 · math.AP · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HJ5TTAT5P6RCARZU3NPS7I42B4}

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	2026-07-17T01:22:17.024748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a7b39827d7fa2204734db5f2fa39a0f260f2deb6ef29adaf39875ccd0a9ab91

Aliases

arxiv: 2607.15256 · arxiv_version: 2607.15256v1 · doi: 10.48550/arxiv.2607.15256 · pith_short_12: HJ5TTAT5P6RC · pith_short_16: HJ5TTAT5P6RCARZU · pith_short_8: HJ5TTAT5

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/HJ5TTAT5P6RCARZU3NPS7I42B4 \
  | 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: 3a7b39827d7fa2204734db5f2fa39a0f260f2deb6ef29adaf39875ccd0a9ab91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a620cd13482a5bc00e3052df6168ff92f25a688576ab0f7b0d7f8632eac75e7",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-16T17:51:23Z",
    "title_canon_sha256": "7fda1cf2e3f5aa5c2cbaf2158da3511e9c0babf5c573abb56cd643b3b2b40547"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15256",
    "kind": "arxiv",
    "version": 1
  }
}