Pith Number

pith:JMGSPYJP

pith:2013:JMGSPYJP3FAOEAL3RUH43L5FHY

not attested not anchored not stored refs pending

Spectral analysis of semigroups and growth-fragmentation equations

Justine Scher (CEREMADE), St\'ephane Mischler (CEREMADE)

arxiv:1310.7773 v2 · 2013-10-29 · 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{JMGSPYJP3FAOEAL3RUH43L5FHY}

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	2026-05-18T02:41:08.874514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b0d27e12fd940e2017b8d0fcdafa53e1945b2ac3676d8dc692b6ab0f7234141

Aliases

arxiv: 1310.7773 · arxiv_version: 1310.7773v2 · doi: 10.48550/arxiv.1310.7773 · pith_short_12: JMGSPYJP3FAO · pith_short_16: JMGSPYJP3FAOEAL3 · pith_short_8: JMGSPYJP

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/JMGSPYJP3FAOEAL3RUH43L5FHY \
  | 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: 4b0d27e12fd940e2017b8d0fcdafa53e1945b2ac3676d8dc692b6ab0f7234141

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6671b60915b1373e61a3c12375e8f3a89976640822e586f7271b53912400a768",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-10-29T12:02:15Z",
    "title_canon_sha256": "f99e59d4423c1c074c1d8c61f0fc8e15b207367527b18a0715f7d6587736a68a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7773",
    "kind": "arxiv",
    "version": 2
  }
}