Pith Number

pith:ABKVSHVZ

pith:2019:ABKVSHVZHHIOGB7WHNDC2TKQ4W

not attested not anchored not stored refs pending

Phase-isometries on real normed spaces

Dongni Tan, Xujian Huang

arxiv:1905.01637 v1 · 2019-05-05 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ABKVSHVZHHIOGB7WHNDC2TKQ4W}

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	2026-05-17T23:46:57.926609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0055591eb939d0e307f63b462d4d50e5a44ed7e805f1f285fef7a0c2b5102739

Aliases

arxiv: 1905.01637 · arxiv_version: 1905.01637v1 · doi: 10.48550/arxiv.1905.01637 · pith_short_12: ABKVSHVZHHIO · pith_short_16: ABKVSHVZHHIOGB7W · pith_short_8: ABKVSHVZ

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/ABKVSHVZHHIOGB7WHNDC2TKQ4W \
  | 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: 0055591eb939d0e307f63b462d4d50e5a44ed7e805f1f285fef7a0c2b5102739

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76e92faa640429ec77b724dce2fef983acc0bc4110d40d856fc4a1aab0d10e4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-05-05T09:18:12Z",
    "title_canon_sha256": "7b5c35f8ce80797c7d07a1c0b2dfe8e0f91a61dac586296095437ad54cf90998"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.01637",
    "kind": "arxiv",
    "version": 1
  }
}