Pith Number

pith:4EFB3SC6

pith:2026:4EFB3SC6JZTHHIRC2OROCLXBUT

not attested not anchored not stored refs pending

Euler Characteristics of Random Manifolds

Oliver Knill

arxiv:2607.24322 v1 · 2026-07-27 · math.CO · cs.DM · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4EFB3SC6JZTHHIRC2OROCLXBUT}

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	2026-07-28T02:23:57.260346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e10a1dc85e4e6673a222d3a2e12ee1a4d803e4622d9e984db5c15a85bbf3a0d8

Aliases

arxiv: 2607.24322 · arxiv_version: 2607.24322v1 · doi: 10.48550/arxiv.2607.24322 · pith_short_12: 4EFB3SC6JZTH · pith_short_16: 4EFB3SC6JZTHHIRC · pith_short_8: 4EFB3SC6

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/4EFB3SC6JZTHHIRC2OROCLXBUT \
  | 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: e10a1dc85e4e6673a222d3a2e12ee1a4d803e4622d9e984db5c15a85bbf3a0d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8aab43e76fd549a5d52510b6fdb4c633232f87de07642b5c3b23ea1ac245a829",
    "cross_cats_sorted": [
      "cs.DM",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-27T12:02:06Z",
    "title_canon_sha256": "033b6dbce6990de289446be301203f1c041f217baa4f736a9050c8c33bea5952"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.24322",
    "kind": "arxiv",
    "version": 1
  }
}