Pith Number

pith:VEKPZAUP

pith:2017:VEKPZAUP7DJBH4HJ2Q7JK67TKO

not attested not anchored not stored refs pending

Growth of Face-Homogeneous Tessellations

Mark E. Watkins, Stephen J. Graves

arxiv:1707.03443 v1 · 2017-07-11 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VEKPZAUP7DJBH4HJ2Q7JK67TKO}

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	2026-05-18T00:40:25.994398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a914fc828ff8d213f0e9d43e957bf35389ab3b768e4aca80acf35b3d8a4d4c73

Aliases

arxiv: 1707.03443 · arxiv_version: 1707.03443v1 · doi: 10.48550/arxiv.1707.03443 · pith_short_12: VEKPZAUP7DJB · pith_short_16: VEKPZAUP7DJBH4HJ · pith_short_8: VEKPZAUP

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/VEKPZAUP7DJBH4HJ2Q7JK67TKO \
  | 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: a914fc828ff8d213f0e9d43e957bf35389ab3b768e4aca80acf35b3d8a4d4c73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a93118cc8bf5a3f236e8ca197f8b3d561760063503bb07dc8bab80693676df9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-11T19:38:31Z",
    "title_canon_sha256": "5c5d7c00d393e6fd636e7d141e54f5365be5f79deef899f045d411a128a8e3d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03443",
    "kind": "arxiv",
    "version": 1
  }
}