Pith Number

pith:R7RC5KDC

pith:2016:R7RC5KDCBZNTQRMYC2BT2A6TZG

not attested not anchored not stored refs pending

Isometric embeddings of snowflakes into finite-dimensional Banach spaces

Enrico Le Donne, Erik Walsberg, Tapio Rajala

arxiv:1609.03377 v1 · 2016-09-12 · 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{R7RC5KDCBZNTQRMYC2BT2A6TZG}

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	2026-05-18T01:04:47.070322Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fe22ea8620e5b38459816833d03d3c9a00ac3920bd5ab2dfcffb7e0accfe612

Aliases

arxiv: 1609.03377 · arxiv_version: 1609.03377v1 · doi: 10.48550/arxiv.1609.03377 · pith_short_12: R7RC5KDCBZNT · pith_short_16: R7RC5KDCBZNTQRMY · pith_short_8: R7RC5KDC

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/R7RC5KDCBZNTQRMYC2BT2A6TZG \
  | 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: 8fe22ea8620e5b38459816833d03d3c9a00ac3920bd5ab2dfcffb7e0accfe612

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b47cfaa717ef37f167cff3f319107ce5221b3a896ac0c6cec79d1c8633a8b1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-09-12T13:04:31Z",
    "title_canon_sha256": "d21be7669450a465f1f6a5b0b451bc62a930ad948371bf5f7c5c8844edc185c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03377",
    "kind": "arxiv",
    "version": 1
  }
}