Pith Number

pith:7CCXZX44

pith:2015:7CCXZX44BIMZ7I7NNLBTYLO6ZK

not attested not anchored not stored refs pending

Injective metrizability and the duality theory of cubings

Dan P. Guralnik, Jared Culbertson, Peter F. Stiller

arxiv:1502.00126 v2 · 2015-01-31 · 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{7CCXZX44BIMZ7I7NNLBTYLO6ZK}

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	2026-05-18T00:08:16.507858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8857cdf9c0a199fa3ed6ac33c2ddeca84ccc5a11578f9be135f4dfccf0058a5

Aliases

arxiv: 1502.00126 · arxiv_version: 1502.00126v2 · doi: 10.48550/arxiv.1502.00126 · pith_short_12: 7CCXZX44BIMZ · pith_short_16: 7CCXZX44BIMZ7I7N · pith_short_8: 7CCXZX44

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/7CCXZX44BIMZ7I7NNLBTYLO6ZK \
  | 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: f8857cdf9c0a199fa3ed6ac33c2ddeca84ccc5a11578f9be135f4dfccf0058a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c040f483f36be6354d337aaa2ae04663a87468f4a97c2bdde7a41b7f72061f4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-01-31T15:49:26Z",
    "title_canon_sha256": "b3c4bf280fe577f29c38d0bf0988c988387ed7077214915314f0a724e110268a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.00126",
    "kind": "arxiv",
    "version": 2
  }
}