Pith Number

pith:MYYI6JZF

pith:2013:MYYI6JZF3VZTSPQYV6WJLKETVX

not attested not anchored not stored refs pending

Stability of Banach spaces via nonlinear $\varepsilon$-isometries

Duanxu Dai, Yunbai Dong

arxiv:1301.3396 v5 · 2013-01-15 · 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{MYYI6JZF3VZTSPQYV6WJLKETVX}

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	2026-05-18T02:57:43.737932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66308f2725dd73393e18afac95a893adf65d8fa330f5ed0339aea2076b220a71

Aliases

arxiv: 1301.3396 · arxiv_version: 1301.3396v5 · doi: 10.48550/arxiv.1301.3396 · pith_short_12: MYYI6JZF3VZT · pith_short_16: MYYI6JZF3VZTSPQY · pith_short_8: MYYI6JZF

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/MYYI6JZF3VZTSPQYV6WJLKETVX \
  | 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: 66308f2725dd73393e18afac95a893adf65d8fa330f5ed0339aea2076b220a71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d9bbf84d3cad47467835981f46c805aaec0d18bfa231aa686c4d06a65eab9dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-01-15T16:14:52Z",
    "title_canon_sha256": "a5912c2b87b56f6bd6e0627d10e9f510fb89993970b4d12f858193edef186a00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3396",
    "kind": "arxiv",
    "version": 5
  }
}