Pith Number

pith:5MB5YQRT

pith:2009:5MB5YQRT5RQO4O4BN2SHAVVVZ2

not attested not anchored not stored refs pending

Exit manifolds for lattice differential equations

A. Hoffman, J.D. Wright

arxiv:0909.4520 v1 · 2009-09-24 · math.DS · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5MB5YQRT5RQO4O4BN2SHAVVVZ2}

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	2026-05-18T04:38:17.372277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb03dc4233ec60ee3b816ea47056b5ceb77a94f443c51f33c83485886a83d1b3

Aliases

arxiv: 0909.4520 · arxiv_version: 0909.4520v1 · doi: 10.48550/arxiv.0909.4520 · pith_short_12: 5MB5YQRT5RQO · pith_short_16: 5MB5YQRT5RQO4O4B · pith_short_8: 5MB5YQRT

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/5MB5YQRT5RQO4O4BN2SHAVVVZ2 \
  | 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: eb03dc4233ec60ee3b816ea47056b5ceb77a94f443c51f33c83485886a83d1b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbe783d203863b02fa2031c7a8c40623fd1478ec8d1c16065104fc3fde019c30",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-09-24T19:17:46Z",
    "title_canon_sha256": "b1721bf89b6380865112c57bb8f5bb8b178f84a053daa2a6602a11f5a09c051b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4520",
    "kind": "arxiv",
    "version": 1
  }
}