Pith Number

pith:G5VBGYG3

pith:2016:G5VBGYG3M4YNPK4PXXI3NL73R4

not attested not anchored not stored refs pending

A volume preserving flow and the isoperimetric problem in warped product spaces

Junfang Li, Mu-Tao Wang, Pengfei Guan

arxiv:1609.08238 v3 · 2016-09-27 · 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{G5VBGYG3M4YNPK4PXXI3NL73R4}

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	2026-05-18T00:10:41.657606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

376a1360db6730d7ab8fbdd1b6affb8f134a34bbcac9b421b50e0883f5c3443a

Aliases

arxiv: 1609.08238 · arxiv_version: 1609.08238v3 · doi: 10.48550/arxiv.1609.08238 · pith_short_12: G5VBGYG3M4YN · pith_short_16: G5VBGYG3M4YNPK4P · pith_short_8: G5VBGYG3

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/G5VBGYG3M4YNPK4PXXI3NL73R4 \
  | 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: 376a1360db6730d7ab8fbdd1b6affb8f134a34bbcac9b421b50e0883f5c3443a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e31caa499254d49f743cbd427a9c6d1c03ce13bc3102d4854471d0768728348",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-09-27T01:48:28Z",
    "title_canon_sha256": "b74172dbc9cd4a2e83b5651012209be6356e3cf6d28d37cfdc9682fabef5ff14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08238",
    "kind": "arxiv",
    "version": 3
  }
}