Pith Number

pith:TD2WXQVK

pith:2022:TD2WXQVKOY46CPIPFTL767TYE7

not attested not anchored not stored refs pending

Rotor-Routing Induces the Only Consistent Sandpile Torsor Structure on Plane Graphs

Alex McDonough, Ankan Ganguly

arxiv:2203.15079 v3 · 2022-03-28 · 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{TD2WXQVKOY46CPIPFTL767TYE7}

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	2026-07-05T06:48:44.660555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98f56bc2aa7639e13d0f2cd7ff7e7827d986d8e08aad44e9dd4e58e97ef77e82

Aliases

arxiv: 2203.15079 · arxiv_version: 2203.15079v3 · doi: 10.48550/arxiv.2203.15079 · pith_short_12: TD2WXQVKOY46 · pith_short_16: TD2WXQVKOY46CPIP · pith_short_8: TD2WXQVK

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/TD2WXQVKOY46CPIPFTL767TYE7 \
  | 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: 98f56bc2aa7639e13d0f2cd7ff7e7827d986d8e08aad44e9dd4e58e97ef77e82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36d194b44272d7adc4183ad4928e8577ff3584b05f80419cc7978e0034daecf2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-03-28T20:37:26Z",
    "title_canon_sha256": "03d887a06b2e6a57bead4cd94e79e0d2752d7e6b3d5cf0c95308a7a99fb5ad89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.15079",
    "kind": "arxiv",
    "version": 3
  }
}