Pith Number

pith:B5ISJAHJ

pith:2024:B5ISJAHJPNFSYMHMM4PYSVUADK

not attested not anchored not stored refs pending

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer

Ankik Kumar Giri, Ram Gopal Jaiswal

arxiv:2411.15561 v2 · 2024-11-23 · 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{B5ISJAHJPNFSYMHMM4PYSVUADK}

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	2026-07-05T10:42:39.339920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f512480e97b4b2c30ec671f8956801a9e660c8a2668dc915327cdb756dec53a

Aliases

arxiv: 2411.15561 · arxiv_version: 2411.15561v2 · doi: 10.48550/arxiv.2411.15561 · pith_short_12: B5ISJAHJPNFS · pith_short_16: B5ISJAHJPNFSYMHM · pith_short_8: B5ISJAHJ

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/B5ISJAHJPNFSYMHMM4PYSVUADK \
  | 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: 0f512480e97b4b2c30ec671f8956801a9e660c8a2668dc915327cdb756dec53a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acf043934e295373e5e4f90d34a2c0647a42883b95a79a20b2976caddcec4cde",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-11-23T13:40:19Z",
    "title_canon_sha256": "1d8b5b5bbe9d88aa8a330b03c55f4eee8a78857e142fe78d5f3659e0ff453de7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.15561",
    "kind": "arxiv",
    "version": 2
  }
}