Pith Number

pith:N3BCA3GT

pith:2015:N3BCA3GT6LT26WOTVZSE7GNKYF

not attested not anchored not stored refs pending

On the Degrees of Freedom of Signals on Graphs

Mikhail Tsitsvero, Sergio Barbarossa

arxiv:1512.00783 v1 · 2015-12-02 · cs.IT · cs.DM · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N3BCA3GT6LT26WOTVZSE7GNKYF}

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	2026-05-18T01:25:25.088406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ec2206cd3f2e7af59d3ae644f99aac14952e9af2a24fa080cbe21461be8c1dd

Aliases

arxiv: 1512.00783 · arxiv_version: 1512.00783v1 · doi: 10.48550/arxiv.1512.00783 · pith_short_12: N3BCA3GT6LT2 · pith_short_16: N3BCA3GT6LT26WOT · pith_short_8: N3BCA3GT

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/N3BCA3GT6LT26WOTVZSE7GNKYF \
  | 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: 6ec2206cd3f2e7af59d3ae644f99aac14952e9af2a24fa080cbe21461be8c1dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35e22fa13b4dec982fa1021f31dc8f5caad7b2311a678558bf4a0e355c24ba27",
    "cross_cats_sorted": [
      "cs.DM",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-12-02T17:43:11Z",
    "title_canon_sha256": "1988a7d718bc3f720debbaf45cede7a2232873bb36f65a6705b2ae110b43467e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00783",
    "kind": "arxiv",
    "version": 1
  }
}