Pith Number

pith:45F3L6Y5

pith:2011:45F3L6Y5RKYGYMYM47KQQKWDNM

not attested not anchored not stored refs pending

On a class of degenerate parabolic equations with dynamic boundary conditions

Ciprian G. Gal

arxiv:1109.0469 v5 · 2011-09-02 · math.DS · 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{45F3L6Y5RKYGYMYM47KQQKWDNM}

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	2026-05-18T03:33:26.589068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e74bb5fb1d8ab06c330ce7d5082ac36b38aa4bfb79b523e10d453550e0044cf4

Aliases

arxiv: 1109.0469 · arxiv_version: 1109.0469v5 · doi: 10.48550/arxiv.1109.0469 · pith_short_12: 45F3L6Y5RKYG · pith_short_16: 45F3L6Y5RKYGYMYM · pith_short_8: 45F3L6Y5

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/45F3L6Y5RKYGYMYM47KQQKWDNM \
  | 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: e74bb5fb1d8ab06c330ce7d5082ac36b38aa4bfb79b523e10d453550e0044cf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "806c60b526c9db832313f0e25e7a4f58e5b3e11a8ccb0f444695a84d9716ad04",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-09-02T15:03:33Z",
    "title_canon_sha256": "761e8d4d6a8a07b172e1dc40b1a6f5893f6c12da20763f2b7410439fd5cc9002"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0469",
    "kind": "arxiv",
    "version": 5
  }
}