Pith Number

pith:7S2ZDYFH

pith:2011:7S2ZDYFHTE4DZKFPOWN2HGCFWV

not attested not anchored not stored refs pending

Wijsman Hyperspaces: Subspaces and Embeddings

Heikki J. K. Junnila, Jiling Cao, Warren B. Moors

arxiv:1111.5103 v1 · 2011-11-22 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7S2ZDYFHTE4DZKFPOWN2HGCFWV}

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	2026-05-18T04:07:53.436294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcb591e0a799383ca8af759ba39845b5776cda55d059c457a4b47eb787ad4464

Aliases

arxiv: 1111.5103 · arxiv_version: 1111.5103v1 · doi: 10.48550/arxiv.1111.5103 · pith_short_12: 7S2ZDYFHTE4D · pith_short_16: 7S2ZDYFHTE4DZKFP · pith_short_8: 7S2ZDYFH

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/7S2ZDYFHTE4DZKFPOWN2HGCFWV \
  | 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: fcb591e0a799383ca8af759ba39845b5776cda55d059c457a4b47eb787ad4464

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f576b93b63cf9626e7da533fd2538cc52492da4e3c37aaa2be4602266742d7f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2011-11-22T05:43:49Z",
    "title_canon_sha256": "1997ef05630b10cf68e5b724f78c02548fe19fc91aee819a0092cae9938dc4fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5103",
    "kind": "arxiv",
    "version": 1
  }
}