Pith Number

pith:U3UJEA56

pith:2016:U3UJEA56C7NS2RKZODQJF257ME

not attested not anchored not stored refs pending

Exponential Independence

Dieter Rautenbach, Simon J\"ager

arxiv:1605.05991 v1 · 2016-05-19 · 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{U3UJEA56C7NS2RKZODQJF257ME}

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	2026-05-18T01:14:26.787149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6e89203be17db2d455970e092ebbf61256c89cb92d47659d7cac8c26db911bd

Aliases

arxiv: 1605.05991 · arxiv_version: 1605.05991v1 · doi: 10.48550/arxiv.1605.05991 · pith_short_12: U3UJEA56C7NS · pith_short_16: U3UJEA56C7NS2RKZ · pith_short_8: U3UJEA56

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/U3UJEA56C7NS2RKZODQJF257ME \
  | 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: a6e89203be17db2d455970e092ebbf61256c89cb92d47659d7cac8c26db911bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0d70a46dbed478ad0a91a0b0ea1d855abfb6065b37429044adfc9063488bd7c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-19T15:14:52Z",
    "title_canon_sha256": "d400f667f46ae426f9f44c4f198715c86bec6ab7a7bc0426e2c30c61d9c29503"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05991",
    "kind": "arxiv",
    "version": 1
  }
}