Pith Number

pith:L4L5EK4E

pith:2014:L4L5EK4EWDGE32NMNZ7AYMMMPS

not attested not anchored not stored refs pending

Optimal Digital Product Maintenance with a Continuous Revenue Stream

Christopher Griffin, James Fan

arxiv:1412.8624 v2 · 2014-12-30 · q-fin.GN · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L4L5EK4EWDGE32NMNZ7AYMMMPS}

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	2026-05-18T00:50:02.150067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f17d22b84b0cc4de9ac6e7e0c318c7cb54444762a2a1b96ec4f4835b4f6be8c

Aliases

arxiv: 1412.8624 · arxiv_version: 1412.8624v2 · doi: 10.48550/arxiv.1412.8624 · pith_short_12: L4L5EK4EWDGE · pith_short_16: L4L5EK4EWDGE32NM · pith_short_8: L4L5EK4E

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/L4L5EK4EWDGE32NMNZ7AYMMMPS \
  | 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: 5f17d22b84b0cc4de9ac6e7e0c318c7cb54444762a2a1b96ec4f4835b4f6be8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "763360691baa268d8888caa2973b4511a49207363828de0b45e584daba2b72dc",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.GN",
    "submitted_at": "2014-12-30T13:09:50Z",
    "title_canon_sha256": "1d0ce66e56f79a324cb1a64ba5375f0f2fa5eb86387f8f84f1297bf9bf79e64a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8624",
    "kind": "arxiv",
    "version": 2
  }
}