Pith Number

pith:VG32RKAH

pith:2017:VG32RKAH5I2IHC3G7QI2CP7Q5J

not attested not anchored not stored refs pending

On the uniqueness of vortex equations and its geometric applications

Qiongling Li

arxiv:1710.10729 v1 · 2017-10-30 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VG32RKAH5I2IHC3G7QI2CP7Q5J}

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	2026-05-18T00:31:46.650552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9b7a8a807ea34838b66fc11a13ff0ea53a756d1f122184f19c272cd03efcd64

Aliases

arxiv: 1710.10729 · arxiv_version: 1710.10729v1 · doi: 10.48550/arxiv.1710.10729 · pith_short_12: VG32RKAH5I2I · pith_short_16: VG32RKAH5I2IHC3G · pith_short_8: VG32RKAH

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/VG32RKAH5I2IHC3G7QI2CP7Q5J \
  | 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: a9b7a8a807ea34838b66fc11a13ff0ea53a756d1f122184f19c272cd03efcd64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9193a783dbdaad2bb715012c61202b9b52585936a5c33dd96829184862a4bdb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-10-30T00:46:56Z",
    "title_canon_sha256": "6e181c6dcedd85e1abaec47784f10d0a254f82c930e1ab77c5d8dd404064277a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10729",
    "kind": "arxiv",
    "version": 1
  }
}