Pith Number

pith:2AJ6ULTA

pith:2015:2AJ6ULTALR5O7ZCRHAFGAJG5AX

not attested not anchored not stored refs pending

Existence and uniqueness of solutions for coagulation-fragmentation problems with singularity

Jitendra Kumar, Jitraj Saha

arxiv:1511.07115 v2 · 2015-11-23 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2AJ6ULTALR5O7ZCRHAFGAJG5AX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:29:49.272644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d013ea2e605c7aefe451380a6024dd05de08f6d4ad81bdcff8d67b2a0807628e

Aliases

arxiv: 1511.07115 · arxiv_version: 1511.07115v2 · doi: 10.48550/arxiv.1511.07115 · pith_short_12: 2AJ6ULTALR5O · pith_short_16: 2AJ6ULTALR5O7ZCR · pith_short_8: 2AJ6ULTA

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/2AJ6ULTALR5O7ZCRHAFGAJG5AX \
  | 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: d013ea2e605c7aefe451380a6024dd05de08f6d4ad81bdcff8d67b2a0807628e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7428582ccfb0aedfd02729031f0667ab296269c009e29d98522f7331365e6c8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-23T06:06:28Z",
    "title_canon_sha256": "4f31afab19f38da01a31aff3e1d164c1f7f2fe293b1357978bac2aa211f5e59e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07115",
    "kind": "arxiv",
    "version": 2
  }
}