Pith Number

pith:VDTRAYEU

pith:2017:VDTRAYEUG4LQ6UGFKFO22IYEIH

not attested not anchored not stored refs pending

Stability of group relations under small Hilbert-Schmidt perturbations

Don Hadwin, Tatiana Shulman

arxiv:1706.08405 v3 · 2017-06-22 · math.OA · math.FA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VDTRAYEUG4LQ6UGFKFO22IYEIH}

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	2026-05-17T23:50:28.878967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8e710609437170f50c5515dad230441e41ab0b34bbe69d84b952843b42c898c

Aliases

arxiv: 1706.08405 · arxiv_version: 1706.08405v3 · doi: 10.48550/arxiv.1706.08405 · pith_short_12: VDTRAYEUG4LQ · pith_short_16: VDTRAYEUG4LQ6UGF · pith_short_8: VDTRAYEU

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/VDTRAYEUG4LQ6UGFKFO22IYEIH \
  | 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: a8e710609437170f50c5515dad230441e41ab0b34bbe69d84b952843b42c898c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fd118271903e9d0342e47b4d9f746a4451faee23908a41ff906611b30d7b931",
    "cross_cats_sorted": [
      "math.FA",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-06-22T16:12:00Z",
    "title_canon_sha256": "c79469234b7207d5b94ef63b42a498992be6596ec7e7c350438b6f00ccd2927f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08405",
    "kind": "arxiv",
    "version": 3
  }
}