Pith Number

pith:S55POQ7A

pith:2016:S55POQ7AD7EB3ZDDM57YQPEIAQ

not attested not anchored not stored refs pending

Global existence and Hadamard differentiability of hysteresis-reaction-diffusion systems

Christian M\"unch

arxiv:1612.04182 v3 · 2016-12-13 · 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{S55POQ7AD7EB3ZDDM57YQPEIAQ}

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	2026-05-18T00:53:11.914721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

977af743e01fc81de463677f883c88043fc8a6babb648b72a670f0a87b8e9cb8

Aliases

arxiv: 1612.04182 · arxiv_version: 1612.04182v3 · doi: 10.48550/arxiv.1612.04182 · pith_short_12: S55POQ7AD7EB · pith_short_16: S55POQ7AD7EB3ZDD · pith_short_8: S55POQ7A

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/S55POQ7AD7EB3ZDDM57YQPEIAQ \
  | 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: 977af743e01fc81de463677f883c88043fc8a6babb648b72a670f0a87b8e9cb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1387102f149df83801f85d082808df1d8dd58efad7a95a915b8d4d22180b19b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-13T13:59:05Z",
    "title_canon_sha256": "d2f5bf024cb3e04fa5d9216d654303fff586b32ca37d72db3a32fd622c6e01ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04182",
    "kind": "arxiv",
    "version": 3
  }
}