Pith Number

pith:XFGPBSLB

pith:2017:XFGPBSLBQGVXNG5X2UG5HXS4MP

not attested not anchored not stored refs pending

Dichotomies, structure, and concentration in normed spaces

Grigoris Paouris, Petros Valettas

arxiv:1708.05149 v3 · 2017-08-17 · math.FA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XFGPBSLBQGVXNG5X2UG5HXS4MP}

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	2026-05-18T00:15:42.911154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b94cf0c96181ab769bb7d50dd3de5c63ed1a75a25b55b6fd6abde71f77e6b2b5

Aliases

arxiv: 1708.05149 · arxiv_version: 1708.05149v3 · doi: 10.48550/arxiv.1708.05149 · pith_short_12: XFGPBSLBQGVX · pith_short_16: XFGPBSLBQGVXNG5X · pith_short_8: XFGPBSLB

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/XFGPBSLBQGVXNG5X2UG5HXS4MP \
  | 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: b94cf0c96181ab769bb7d50dd3de5c63ed1a75a25b55b6fd6abde71f77e6b2b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "352bfbbc0c79f4d6be477df9cfead58c7767b0a0adeee7a2e9868fcb06b3f26f",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-08-17T06:42:42Z",
    "title_canon_sha256": "ad5dfa2bb5f64929cb788885dac52d38794368a290bab5a9f57ac9251ba7c582"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.05149",
    "kind": "arxiv",
    "version": 3
  }
}