Pith Number

pith:JDPH3MUR

pith:2014:JDPH3MUR5WJLL5PVMLQIO2LSLS

not attested not anchored not stored refs pending

Sandpiles, spanning trees, and plane duality

Caryn Werner, Darren Glass, David Perkinson, Matthew Macauley, Melody Chan, Qiaoyu Yang

arxiv:1406.5147 v1 · 2014-06-19 · 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{JDPH3MUR5WJLL5PVMLQIO2LSLS}

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	2026-05-18T02:49:20.842936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48de7db291ed92b5f5f562e08769725c88dded3004444713ee0e81e8cbeafb25

Aliases

arxiv: 1406.5147 · arxiv_version: 1406.5147v1 · doi: 10.48550/arxiv.1406.5147 · pith_short_12: JDPH3MUR5WJL · pith_short_16: JDPH3MUR5WJLL5PV · pith_short_8: JDPH3MUR

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/JDPH3MUR5WJLL5PVMLQIO2LSLS \
  | 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: 48de7db291ed92b5f5f562e08769725c88dded3004444713ee0e81e8cbeafb25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a141f552c65f3472774187a4cd9ac3292aecb3b495a74bf59a6dc0bcdfe2e94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-19T18:47:38Z",
    "title_canon_sha256": "49f29aa7adf8f5e0b436fc8628d2606073e2b3b7ee0b87aaa224065c87322104"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5147",
    "kind": "arxiv",
    "version": 1
  }
}