Pith Number

pith:KBRTTNKU

pith:2017:KBRTTNKUXVCJTABCPDO6XSSIJE

not attested not anchored not stored refs pending

Balanced complexes and effective divisors on $\overline{M}_{0,n}$

Elijah Gunther, Jos\'e Luis Gonz\'alez, Olivia Zhang

arxiv:1709.10198 v1 · 2017-09-28 · math.AG · 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{KBRTTNKUXVCJTABCPDO6XSSIJE}

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	2026-05-18T00:33:58.175702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

506339b554bd4499802278ddebca4849143fd25c30e1e7eae5ab6a98b79a9bc7

Aliases

arxiv: 1709.10198 · arxiv_version: 1709.10198v1 · doi: 10.48550/arxiv.1709.10198 · pith_short_12: KBRTTNKUXVCJ · pith_short_16: KBRTTNKUXVCJTABC · pith_short_8: KBRTTNKU

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/KBRTTNKUXVCJTABCPDO6XSSIJE \
  | 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: 506339b554bd4499802278ddebca4849143fd25c30e1e7eae5ab6a98b79a9bc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8880189e3c14dc9bf0b0a036965bf3a8b945ec66ed3100acf85ceba0105c4868",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-09-28T23:29:28Z",
    "title_canon_sha256": "e4cbe8ebdd0b6e4e52c48a9bf874a97b3de5f52698471eb884000af1178c368c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.10198",
    "kind": "arxiv",
    "version": 1
  }
}