Pith Number

pith:ZNVV7ZQF

pith:2015:ZNVV7ZQFZMU5VFD6JPWCBEFGOJ

not attested not anchored not stored refs pending

Skew Mean Curvature Flow

Chong Song, Jun Sun

arxiv:1502.04525 v3 · 2015-02-16 · 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{ZNVV7ZQFZMU5VFD6JPWCBEFGOJ}

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	2026-05-18T00:33:53.532386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb6b5fe605cb29da947e4bec2090a6725a4311410b080deca0ffd936e8be369d

Aliases

arxiv: 1502.04525 · arxiv_version: 1502.04525v3 · doi: 10.48550/arxiv.1502.04525 · pith_short_12: ZNVV7ZQFZMU5 · pith_short_16: ZNVV7ZQFZMU5VFD6 · pith_short_8: ZNVV7ZQF

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/ZNVV7ZQFZMU5VFD6JPWCBEFGOJ \
  | 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: cb6b5fe605cb29da947e4bec2090a6725a4311410b080deca0ffd936e8be369d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c5ca0ef6eee3dc9e3960e7112382a2f60090f54505fefb82f7e3f119977f93d",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-02-16T13:21:51Z",
    "title_canon_sha256": "edc115a86dca76f96f3e0857b517c46b7424647c2cc4a6ca24b87943ca811f9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04525",
    "kind": "arxiv",
    "version": 3
  }
}