Pith Number

pith:ZQORPUIA

pith:2017:ZQORPUIAFX4XO2O7QXJUIVNQND

not attested not anchored not stored refs pending

The strong ring of simplicial complexes

Oliver Knill

arxiv:1708.01778 v1 · 2017-08-05 · math.CO · cs.DM · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZQORPUIAFX4XO2O7QXJUIVNQND}

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.

Cited by

1 paper in Pith

The energy of a simplicial complex

Receipt and verification

First computed	2026-05-18T00:38:33.183820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc1d17d1002df97769df85d34455b068eaac1e76481be85e2ac321de07705d47

Aliases

arxiv: 1708.01778 · arxiv_version: 1708.01778v1 · doi: 10.48550/arxiv.1708.01778 · pith_short_12: ZQORPUIAFX4X · pith_short_16: ZQORPUIAFX4XO2O7 · pith_short_8: ZQORPUIA

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/ZQORPUIAFX4XO2O7QXJUIVNQND \
  | 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: cc1d17d1002df97769df85d34455b068eaac1e76481be85e2ac321de07705d47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba57fdcdb614f634c7b42521e5ddbd5905469195d857818873246caf9af72b11",
    "cross_cats_sorted": [
      "cs.DM",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-05T15:20:03Z",
    "title_canon_sha256": "76dbd0755c278a3f44e65d98e63292832a6c2f3b2160e5ff77df754809f7763e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01778",
    "kind": "arxiv",
    "version": 1
  }
}