Pith Number

pith:7H5AKCKT

pith:2017:7H5AKCKTUHMUKIYBJ6GMYLNNGX

not attested not anchored not stored refs pending

Cubical accessibility and bounds on curves on surfaces

Benjamin Beeker, Nir Lazarovich

arxiv:1701.01313 v1 · 2017-01-05 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7H5AKCKTUHMUKIYBJ6GMYLNNGX}

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	2026-05-18T00:30:46.218620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9fa050953a1d94523014f8ccc2dad35ce251f84f9a5ec6c9f74cd47e2285078

Aliases

arxiv: 1701.01313 · arxiv_version: 1701.01313v1 · doi: 10.48550/arxiv.1701.01313 · pith_short_12: 7H5AKCKTUHMU · pith_short_16: 7H5AKCKTUHMUKIYB · pith_short_8: 7H5AKCKT

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/7H5AKCKTUHMUKIYBJ6GMYLNNGX \
  | 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: f9fa050953a1d94523014f8ccc2dad35ce251f84f9a5ec6c9f74cd47e2285078

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce095e1407e18c30b6b5052de403cde1fb7be1c02c6e53853c80492aa0278cdc",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-01-05T13:50:00Z",
    "title_canon_sha256": "7a68271cc99193f3fc0521500c4d5e665154f027b82e5d3eb67e037c264b59f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.01313",
    "kind": "arxiv",
    "version": 1
  }
}