Pith Number

pith:I3Q6ICNA

pith:2013:I3Q6ICNATTNOMPLFBD74HWXGBF

not attested not anchored not stored refs pending

Analytical expansions for parabolic equations

Andrea Pascucci, Matthew Lorig, Stefano Pagliarani

arxiv:1312.3314 v2 · 2013-12-11 · math.AP · q-fin.CP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I3Q6ICNATTNOMPLFBD74HWXGBF}

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	2026-05-18T02:32:38.949512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46e1e409a09cdae63d6508ffc3dae6096ca6c1bc2defcba20050baccda41ecfd

Aliases

arxiv: 1312.3314 · arxiv_version: 1312.3314v2 · doi: 10.48550/arxiv.1312.3314 · pith_short_12: I3Q6ICNATTNO · pith_short_16: I3Q6ICNATTNOMPLF · pith_short_8: I3Q6ICNA

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/I3Q6ICNATTNOMPLFBD74HWXGBF \
  | 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: 46e1e409a09cdae63d6508ffc3dae6096ca6c1bc2defcba20050baccda41ecfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b322c4049626022c032f91ab69387e3925d570edcf070f544708db997d33d1f4",
    "cross_cats_sorted": [
      "q-fin.CP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-12-11T20:49:40Z",
    "title_canon_sha256": "8c9626309b231c1f7e063cad69e29ac4a221179537e799b6f72446c04eb0ec02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3314",
    "kind": "arxiv",
    "version": 2
  }
}