Pith Number

pith:Q3HOL6EG

pith:2016:Q3HOL6EGHGXBPFPAHG6NZRWL6T

not attested not anchored not stored refs pending

Gauss-Bonnet for multi-linear valuations

Oliver Knill

arxiv:1601.04533 v1 · 2016-01-18 · cs.DM · math.CO · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q3HOL6EGHGXBPFPAHG6NZRWL6T}

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	2026-05-18T01:22:44.786712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86cee5f88639ae1795e039bcdcc6cbf4f18022a2d28213ba23e7e6b60b7dde5f

Aliases

arxiv: 1601.04533 · arxiv_version: 1601.04533v1 · doi: 10.48550/arxiv.1601.04533 · pith_short_12: Q3HOL6EGHGXB · pith_short_16: Q3HOL6EGHGXBPFPA · pith_short_8: Q3HOL6EG

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/Q3HOL6EGHGXBPFPAHG6NZRWL6T \
  | 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: 86cee5f88639ae1795e039bcdcc6cbf4f18022a2d28213ba23e7e6b60b7dde5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37aa430347822890189938b57d8e25dc2abb5caf7411d7938ef38b01cf2e3a9c",
    "cross_cats_sorted": [
      "math.CO",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-01-18T14:36:46Z",
    "title_canon_sha256": "39b1cc18b319ba1ab89838bb7b9fddb8d60fee6bba54a8b8f1037ff0fd80f07c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04533",
    "kind": "arxiv",
    "version": 1
  }
}