Pith Number

pith:453YB6QX

pith:2016:453YB6QX3CF6WRH3FYW6U3B24J

not attested not anchored not stored refs pending

Relative entropy for hyperbolic-parabolic systems and application to the constitutive theory of thermoviscoelasticity

Athanasios Tzavaras, Cleopatra Christoforou

arxiv:1603.08176 v2 · 2016-03-27 · 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{453YB6QX3CF6WRH3FYW6U3B24J}

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	2026-05-18T00:26:02.236720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e77780fa17d88beb44fb2e2dea6c3ae26f4e09c9202a239f16ab53a1d6bbec9d

Aliases

arxiv: 1603.08176 · arxiv_version: 1603.08176v2 · doi: 10.48550/arxiv.1603.08176 · pith_short_12: 453YB6QX3CF6 · pith_short_16: 453YB6QX3CF6WRH3 · pith_short_8: 453YB6QX

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/453YB6QX3CF6WRH3FYW6U3B24J \
  | 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: e77780fa17d88beb44fb2e2dea6c3ae26f4e09c9202a239f16ab53a1d6bbec9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c96f4d596f0afecb4f63e874ad9a4938c31094a959defc83da94fc4d17c44d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-27T05:47:11Z",
    "title_canon_sha256": "4932860c551f5c80aa62f5f055d0dfe677e5967ceab9e9b0a9c91ee449862add"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08176",
    "kind": "arxiv",
    "version": 2
  }
}