Pith Number

pith:A77L42EP

pith:2015:A77L42EP5BTRRMOEDWPRZGITN3

not attested not anchored not stored refs pending

Tropical curves in sandpile models

Mikhail Shkolnikov, Nikita Kalinin

arxiv:1502.06284 v10 · 2015-02-22 · 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{A77L42EP5BTRRMOEDWPRZGITN3}

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	2026-07-05T07:22:58.776752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07febe688fe86718b1c41d9f1c99136ef003e68158694f4390dcb02efbd16360

Aliases

arxiv: 1502.06284 · arxiv_version: 1502.06284v10 · doi: 10.48550/arxiv.1502.06284 · pith_short_12: A77L42EP5BTR · pith_short_16: A77L42EP5BTRRMOE · pith_short_8: A77L42EP

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/A77L42EP5BTRRMOEDWPRZGITN3 \
  | 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: 07febe688fe86718b1c41d9f1c99136ef003e68158694f4390dcb02efbd16360

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7500f6d3c47087aa94ed352fb8fb29f4a8d2768a5a0242edeff36a141b145279",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-22T22:59:22Z",
    "title_canon_sha256": "8b10a38e2e2223367eaaad480034c9580728afca7b8a405633ddd9a4cec62327"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06284",
    "kind": "arxiv",
    "version": 10
  }
}