Pith Number

pith:5EUS2MWB

pith:2017:5EUS2MWBQIS6ILK4AX6E6AQLNK

not attested not anchored not stored refs pending

Stability and exact Turan numbers for matroids

Hong Liu, Kazuhiro Nomoto, Peter Nelson, Sammy Luo

arxiv:1710.03815 v1 · 2017-10-10 · 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{5EUS2MWBQIS6ILK4AX6E6AQLNK}

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	2026-05-18T00:33:05.908957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9292d32c18225e42d5c05fc4f020b6a9bfe85c2977136dfce8b9545ef515571

Aliases

arxiv: 1710.03815 · arxiv_version: 1710.03815v1 · doi: 10.48550/arxiv.1710.03815 · pith_short_12: 5EUS2MWBQIS6 · pith_short_16: 5EUS2MWBQIS6ILK4 · pith_short_8: 5EUS2MWB

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/5EUS2MWBQIS6ILK4AX6E6AQLNK \
  | 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: e9292d32c18225e42d5c05fc4f020b6a9bfe85c2977136dfce8b9545ef515571

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4142debe2c739dcaec97914e6a9fc1481308a7a30d4afafc20acdeb20036d37e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-10T20:42:06Z",
    "title_canon_sha256": "7049037883b30ff690b3d45822d4dc9fbf46b841acd63076a79329d718fbc7b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03815",
    "kind": "arxiv",
    "version": 1
  }
}