Pith Number

pith:2EJRRGT5

pith:2016:2EJRRGT5UMLCA7ROU3I747APPI

not attested not anchored not stored refs pending

Unimodality via alternating gamma vectors

Andrew Carroll, Charles Brittenham, Connor Thomas, T. Kyle Petersen

arxiv:1601.04979 v1 · 2016-01-19 · 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{2EJRRGT5UMLCA7ROU3I747APPI}

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	2026-05-18T01:22:31.432569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d113189a7da316207e2ea6d1fe7c0f7a2e84cd3e0bc5ca70a80e297c1b235645

Aliases

arxiv: 1601.04979 · arxiv_version: 1601.04979v1 · doi: 10.48550/arxiv.1601.04979 · pith_short_12: 2EJRRGT5UMLC · pith_short_16: 2EJRRGT5UMLCA7RO · pith_short_8: 2EJRRGT5

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/2EJRRGT5UMLCA7ROU3I747APPI \
  | 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: d113189a7da316207e2ea6d1fe7c0f7a2e84cd3e0bc5ca70a80e297c1b235645

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d58ff4cdb6e6a398bebb835a5126e286047f034eddc9817e32506f00bd8616db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-19T16:23:28Z",
    "title_canon_sha256": "a49e67de043d32fa6ff84f37c022cb2db48b560218594b5bcb17d5acebdb62d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04979",
    "kind": "arxiv",
    "version": 1
  }
}