Pith Number

pith:TBYI2QQT

pith:2016:TBYI2QQTP656R4RTRBPS7V2V3I

not attested not anchored not stored refs pending

Some properties of coarse Lipschitz maps between Banach spaces

Aude Dalet, Gilles Lancien

arxiv:1612.01364 v3 · 2016-12-05 · 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{TBYI2QQTP656R4RTRBPS7V2V3I}

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	2026-05-17T23:58:42.603528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98708d42137fbbe8f233885f2fd755da062efc6aef0b607410d6d37936289c11

Aliases

arxiv: 1612.01364 · arxiv_version: 1612.01364v3 · doi: 10.48550/arxiv.1612.01364 · pith_short_12: TBYI2QQTP656 · pith_short_16: TBYI2QQTP656R4RT · pith_short_8: TBYI2QQT

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/TBYI2QQTP656R4RTRBPS7V2V3I \
  | 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: 98708d42137fbbe8f233885f2fd755da062efc6aef0b607410d6d37936289c11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e954af00c20efcbcc25d9c8f816ebd5cd2f3e8d25a50ae2997428bb5e0eeced",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-12-05T14:20:04Z",
    "title_canon_sha256": "965dbb450e9463c2cbfd7ccec72bb5146b92592ec5ea1ec5a14838bf9466b81d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01364",
    "kind": "arxiv",
    "version": 3
  }
}