Pith Number

pith:4YMW5IVY

pith:2016:4YMW5IVYOLKUNSXB75SZXTU4Q4

not attested not anchored not stored refs pending

Uniqueness of the $1$D Compressible to Incompressible Limit

Graziano Guerra, Rinaldo M. Colombo

arxiv:1612.03329 v1 · 2016-12-10 · 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{4YMW5IVYOLKUNSXB75SZXTU4Q4}

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	2026-05-18T00:55:19.590126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6196ea2b872d546cae1ff659bce9c870d9f3088eb61f5c8afc1cc1fbb592c7a

Aliases

arxiv: 1612.03329 · arxiv_version: 1612.03329v1 · doi: 10.48550/arxiv.1612.03329 · pith_short_12: 4YMW5IVYOLKU · pith_short_16: 4YMW5IVYOLKUNSXB · pith_short_8: 4YMW5IVY

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/4YMW5IVYOLKUNSXB75SZXTU4Q4 \
  | 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: e6196ea2b872d546cae1ff659bce9c870d9f3088eb61f5c8afc1cc1fbb592c7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "200d9e35c2efa8575af2cc8691b7f5dc62125f4f9b340462c3b457d6a3161694",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-10T18:22:16Z",
    "title_canon_sha256": "4507c7973ae1e46d7c86941c962a7b4c4ce0b403c43c7bf2cf78f9020576e61f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03329",
    "kind": "arxiv",
    "version": 1
  }
}