Pith Number

pith:XHEHC3IX

pith:2014:XHEHC3IXMEEUK2XTFV22GHCEKC

not attested not anchored not stored refs pending

Selection Mutation Differential Equations: Long-time Behavior of Measure-Valued Solutions

Azmy S. Akleh, Horst R. Thieme, John Cleveland

arxiv:1412.0567 v1 · 2014-12-01 · 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{XHEHC3IXMEEUK2XTFV22GHCEKC}

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	2026-05-18T02:32:23.083954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9c8716d176109456af32d75a31c4450804b2b222cf9c886ffcb368b477b1e74

Aliases

arxiv: 1412.0567 · arxiv_version: 1412.0567v1 · doi: 10.48550/arxiv.1412.0567 · pith_short_12: XHEHC3IXMEEU · pith_short_16: XHEHC3IXMEEUK2XT · pith_short_8: XHEHC3IX

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/XHEHC3IXMEEUK2XTFV22GHCEKC \
  | 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: b9c8716d176109456af32d75a31c4450804b2b222cf9c886ffcb368b477b1e74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8140f424b346d651eb6f9d3f7f57fa04112069b11cce380b05b420b5d4de81eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-12-01T17:56:02Z",
    "title_canon_sha256": "bfbf637cbe1e8c4025057d776583099737b4a276cac519c8077c0a481c5514a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0567",
    "kind": "arxiv",
    "version": 1
  }
}