pith. sign in
Pith Number

pith:WDV27GBC

pith:2016:WDV27GBCN7DKZCBOV4W7C4VOVY
not attested not anchored not stored refs pending

$E$-restricted double traces

Dan Archdeacon, Jernej Rus, Luis Goddyn

arxiv:1610.09888 v1 · 2016-10-31 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WDV27GBCN7DKZCBOV4W7C4VOVY}

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 2026-05-18T01:00:46.970228Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b0ebaf98226fc6ac882eaf2df172aeae3e41c486e89ffd6890e055dc23a0184a

Aliases

arxiv: 1610.09888 · arxiv_version: 1610.09888v1 · doi: 10.48550/arxiv.1610.09888 · pith_short_12: WDV27GBCN7DK · pith_short_16: WDV27GBCN7DKZCBO · pith_short_8: WDV27GBC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WDV27GBCN7DKZCBOV4W7C4VOVY \
  | 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: b0ebaf98226fc6ac882eaf2df172aeae3e41c486e89ffd6890e055dc23a0184a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9460a9f44ae52d8cf4061cdf13b394d1e5302ec3aa5e8a86aaab6b479b0b9c37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-31T12:13:10Z",
    "title_canon_sha256": "e2b36b761c16f27b2cdc2a53f7cab708486286d949c604efa21c588f2feea552"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09888",
    "kind": "arxiv",
    "version": 1
  }
}