Pith Number

pith:MOPXMPS5

pith:2015:MOPXMPS5XNGL65XGBP6N3C7XOB

not attested not anchored not stored refs pending

Competitive Erosion is Conformally Invariant

Shirshendu Ganguly, Yuval Peres

arxiv:1503.06989 v4 · 2015-03-24 · math.PR · cond-mat.stat-mech · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MOPXMPS5XNGL65XGBP6N3C7XOB}

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	2026-05-18T00:08:24.292955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

639f763e5dbb4cbf76e60bfcdd8bf770797643ccc4d38b56335cb41c869fe258

Aliases

arxiv: 1503.06989 · arxiv_version: 1503.06989v4 · doi: 10.48550/arxiv.1503.06989 · pith_short_12: MOPXMPS5XNGL · pith_short_16: MOPXMPS5XNGL65XG · pith_short_8: MOPXMPS5

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/MOPXMPS5XNGL65XGBP6N3C7XOB \
  | 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: 639f763e5dbb4cbf76e60bfcdd8bf770797643ccc4d38b56335cb41c869fe258

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d6a347850dee15d3a125d1fb6b59f09501faca8da5805d0837e387ff89924ae",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-03-24T11:21:52Z",
    "title_canon_sha256": "ef0956e318314bc0e38e4c9940a291d65fd639b788849c3b881a5fdc67b7170a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06989",
    "kind": "arxiv",
    "version": 4
  }
}