Pith Number

pith:I2S6LNSN

pith:2018:I2S6LNSNX6VII3FIODJTKWLRL7

not attested not anchored not stored refs pending

Maximum Modulus of Independence Roots of Graphs and Trees

Ben Cameron, Jason I.Brown

arxiv:1812.09775 v1 · 2018-12-23 · 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{I2S6LNSNX6VII3FIODJTKWLRL7}

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	2026-05-17T23:57:26.819519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46a5e5b64dbfaa846ca870d33559715fca82b34f7b95882e6ce26f7940aad7be

Aliases

arxiv: 1812.09775 · arxiv_version: 1812.09775v1 · doi: 10.48550/arxiv.1812.09775 · pith_short_12: I2S6LNSNX6VI · pith_short_16: I2S6LNSNX6VII3FI · pith_short_8: I2S6LNSN

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/I2S6LNSNX6VII3FIODJTKWLRL7 \
  | 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: 46a5e5b64dbfaa846ca870d33559715fca82b34f7b95882e6ce26f7940aad7be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87c93f73267fccdcf16446d012dc92890989b6bb12d62ea2679e9d4057fbdfc5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-23T21:17:30Z",
    "title_canon_sha256": "20ced4422c44483ef058a7502b12d45fb799e76a53452941dfbf0411a00787ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.09775",
    "kind": "arxiv",
    "version": 1
  }
}