Pith Number

pith:QOWCYMI2

pith:2018:QOWCYMI2YA2DTOVVYFIG6CRAQS

not attested not anchored not stored refs pending

Cohomological equation and cocycle rigidity of discrete parabolic actions

James Tanis, Zhenqi Jenny Wang

arxiv:1809.03028 v1 · 2018-09-09 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QOWCYMI2YA2DTOVVYFIG6CRAQS}

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	2026-05-18T00:06:10.290169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83ac2c311ac03439bab5c1506f0a2084b42f3ecbddf09ce8df48f9d9ee54d96d

Aliases

arxiv: 1809.03028 · arxiv_version: 1809.03028v1 · doi: 10.48550/arxiv.1809.03028 · pith_short_12: QOWCYMI2YA2D · pith_short_16: QOWCYMI2YA2DTOVV · pith_short_8: QOWCYMI2

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/QOWCYMI2YA2DTOVVYFIG6CRAQS \
  | 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: 83ac2c311ac03439bab5c1506f0a2084b42f3ecbddf09ce8df48f9d9ee54d96d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30bd2d1749ca2323814dac6fd401d9b271af181694c95780e4eaece61e4aafd2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-09-09T19:39:22Z",
    "title_canon_sha256": "1744e380296a2eb55e00a7548c466b1a9073e012df308d408f5859c52d3301bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.03028",
    "kind": "arxiv",
    "version": 1
  }
}