Pith Number

pith:EQJRQQV6

pith:2018:EQJRQQV6JIXSXCFPWKA4JJHJFC

not attested not anchored not stored refs pending

Existence of mass-conserving weak solutions to the singular coagulation equation with multiple fragmentation

Prasanta Kumar Barik

arxiv:1811.06161 v1 · 2018-11-15 · 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{EQJRQQV6JIXSXCFPWKA4JJHJFC}

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	2026-05-18T00:00:38.480914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24131842be4a2f2b88afb281c4a4e9289cb04f4a1e937179406310d5882d5242

Aliases

arxiv: 1811.06161 · arxiv_version: 1811.06161v1 · doi: 10.48550/arxiv.1811.06161 · pith_short_12: EQJRQQV6JIXS · pith_short_16: EQJRQQV6JIXSXCFP · pith_short_8: EQJRQQV6

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/EQJRQQV6JIXSXCFPWKA4JJHJFC \
  | 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: 24131842be4a2f2b88afb281c4a4e9289cb04f4a1e937179406310d5882d5242

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e07413c3d73e3ea600904ce88719642975a240f04e1a966a6b8c09b145d2899",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-11-15T04:09:22Z",
    "title_canon_sha256": "7789603292b28cf2c5601aeed19a2d83c20992314c5bcbc426e32c24adfcd3e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.06161",
    "kind": "arxiv",
    "version": 1
  }
}