Pith Number

pith:EAW32Z2D

pith:2012:EAW32Z2DJRHN5JLE7P3HNXMHYN

not attested not anchored not stored refs pending

On bounding the bandwidth of graphs with symmetry

Edwin R. van Dam, Renata Sotirov

arxiv:1212.0694 v3 · 2012-12-04 · math.OC · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EAW32Z2DJRHN5JLE7P3HNXMHYN}

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	2026-05-18T02:30:16.025383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

202dbd67434c4edea564fbf676dd87c34a34fe07b0a5e0349da4b7779bef603d

Aliases

arxiv: 1212.0694 · arxiv_version: 1212.0694v3 · doi: 10.48550/arxiv.1212.0694 · pith_short_12: EAW32Z2DJRHN · pith_short_16: EAW32Z2DJRHN5JLE · pith_short_8: EAW32Z2D

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/EAW32Z2DJRHN5JLE7P3HNXMHYN \
  | 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: 202dbd67434c4edea564fbf676dd87c34a34fe07b0a5e0349da4b7779bef603d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d27cacfd27108528b7b11d12c00e4fa7a36672c652eb24afcb19f071c4d4dd0c",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-12-04T12:03:18Z",
    "title_canon_sha256": "fdb3292d74c3e2edcc15c79d701b68df3d8216737aad811ca5b05f5bac5d15b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0694",
    "kind": "arxiv",
    "version": 3
  }
}