Pith Number

pith:HTWYR3MX

pith:2014:HTWYR3MXDJIPC24KCJVYZQARPH

not attested not anchored not stored refs pending

The Bernardi process and torsor structures on spanning trees

Matthew Baker, Yao Wang

arxiv:1406.5084 v3 · 2014-06-19 · math.CO · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HTWYR3MXDJIPC24KCJVYZQARPH}

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	2026-05-18T00:51:22.721444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ced88ed971a50f16b8a126b8cc01179d25f16cd338bdf0ff6af3d108338898d

Aliases

arxiv: 1406.5084 · arxiv_version: 1406.5084v3 · doi: 10.48550/arxiv.1406.5084 · pith_short_12: HTWYR3MXDJIP · pith_short_16: HTWYR3MXDJIPC24K · pith_short_8: HTWYR3MX

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/HTWYR3MXDJIPC24KCJVYZQARPH \
  | 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: 3ced88ed971a50f16b8a126b8cc01179d25f16cd338bdf0ff6af3d108338898d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8497e5a0b5a2b34e6708869656125907e9860b99fc2d686cd695d33781cb2583",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-19T15:39:48Z",
    "title_canon_sha256": "b2c35914d4ee3a1a3d622ae9f1d3a354b26bef5a71043ec80df04bd5baf593ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5084",
    "kind": "arxiv",
    "version": 3
  }
}