Pith Number

pith:NQBQSGPD

pith:2016:NQBQSGPDZVYSNTJNDGKQLGXTOQ

not attested not anchored not stored refs pending

Numerical approximation of multi-phase Penrose-Fife systems

Carsten Gr\"aser, Max Kahnt, Ralf Kornhuber

arxiv:1605.03881 v1 · 2016-05-12 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NQBQSGPDZVYSNTJNDGKQLGXTOQ}

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	2026-05-18T01:14:59.303361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c030919e3cd7126cd2d1995059af3741bbc6348dd7fa63ba7a0fd78dd5b9051

Aliases

arxiv: 1605.03881 · arxiv_version: 1605.03881v1 · doi: 10.48550/arxiv.1605.03881 · pith_short_12: NQBQSGPDZVYS · pith_short_16: NQBQSGPDZVYSNTJN · pith_short_8: NQBQSGPD

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/NQBQSGPDZVYSNTJNDGKQLGXTOQ \
  | 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: 6c030919e3cd7126cd2d1995059af3741bbc6348dd7fa63ba7a0fd78dd5b9051

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91f53e1d7fb7de29bd817b071c6f1fddb3555882a53bc22efca2a1d2a8b50fcc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-05-12T16:28:28Z",
    "title_canon_sha256": "f3669ceb004ccfc804cca1a88a05609edfe9053f056cbd25cc464629ca14c841"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03881",
    "kind": "arxiv",
    "version": 1
  }
}