Pith Number

pith:76ABHYCE

pith:2017:76ABHYCEOQ6FIXTZGSTGT3NLGU

not attested not anchored not stored refs pending

On a Dehn-Sommerville functional for simplicial complexes

Oliver Knill

arxiv:1705.10439 v1 · 2017-05-30 · math.CO · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{76ABHYCEOQ6FIXTZGSTGT3NLGU}

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	2026-05-18T00:43:24.597412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff8013e044743c545e7934a669edab351f9f4a15d54ae7c24bbe81312a0c9513

Aliases

arxiv: 1705.10439 · arxiv_version: 1705.10439v1 · doi: 10.48550/arxiv.1705.10439 · pith_short_12: 76ABHYCEOQ6F · pith_short_16: 76ABHYCEOQ6FIXTZ · pith_short_8: 76ABHYCE

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/76ABHYCEOQ6FIXTZGSTGT3NLGU \
  | 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: ff8013e044743c545e7934a669edab351f9f4a15d54ae7c24bbe81312a0c9513

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a543856778f0771d1fc724ec8a62559b56450f5c255a2354f0b9ea714abc3aaa",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-30T02:49:45Z",
    "title_canon_sha256": "57f260305cb4c4ae3213ec159da88cd047151786faf10b473071a06ff001904b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.10439",
    "kind": "arxiv",
    "version": 1
  }
}