Pith Number

pith:ODV7JEAZ

pith:2016:ODV7JEAZKOQY7Y7GPYV4QVHDJY

not attested not anchored not stored refs pending

Discrete Balayage and Boundary Sandpile

Hayk Aleksanyan, Henrik Shahgholian

arxiv:1607.01525 v3 · 2016-07-06 · math.AP · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ODV7JEAZKOQY7Y7GPYV4QVHDJY}

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	2026-05-18T00:39:40.393515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70ebf4901953a18fe3e67e2bc854e34e059eda31ea0836e224c7737517f396ef

Aliases

arxiv: 1607.01525 · arxiv_version: 1607.01525v3 · doi: 10.48550/arxiv.1607.01525 · pith_short_12: ODV7JEAZKOQY · pith_short_16: ODV7JEAZKOQY7Y7G · pith_short_8: ODV7JEAZ

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/ODV7JEAZKOQY7Y7GPYV4QVHDJY \
  | 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: 70ebf4901953a18fe3e67e2bc854e34e059eda31ea0836e224c7737517f396ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84c0e948b5b9a2642bb43cc7adb19da5ee716f49dc2d8a1d9e43dfaaf858fbb9",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-07-06T09:03:14Z",
    "title_canon_sha256": "8ec73dee0933ca2b753933eaf7686e6aa5a2890aa30a0945879ec864ce8df3d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01525",
    "kind": "arxiv",
    "version": 3
  }
}