Pith Number

pith:DCLWX4QB

pith:2015:DCLWX4QB6H7KRDEJGYWPX4XEGS

not attested not anchored not stored refs pending

Asymptotic rank of spaces with bicombings

Dominic Descombes

arxiv:1510.05393 v1 · 2015-10-19 · 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{DCLWX4QB6H7KRDEJGYWPX4XEGS}

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	2026-05-18T01:29:52.396768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18976bf201f1fea88c89362cfbf2e43487405d0d11ca63f28aafdc90d5234f0e

Aliases

arxiv: 1510.05393 · arxiv_version: 1510.05393v1 · doi: 10.48550/arxiv.1510.05393 · pith_short_12: DCLWX4QB6H7K · pith_short_16: DCLWX4QB6H7KRDEJ · pith_short_8: DCLWX4QB

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/DCLWX4QB6H7KRDEJGYWPX4XEGS \
  | 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: 18976bf201f1fea88c89362cfbf2e43487405d0d11ca63f28aafdc90d5234f0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1cc850f97219db160792962216dcda2efc0cfb1fa6e23e64b98b2ef1c9c168c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-10-19T08:50:51Z",
    "title_canon_sha256": "0d1cb4bbef087d5a4a40f57f99f6e676542889b65d0fbd7be60fd0b445eec684"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05393",
    "kind": "arxiv",
    "version": 1
  }
}