Pith Number

pith:TJTFWRY6

pith:2013:TJTFWRY6G56KD5UWJ5FJ736IZV

not attested not anchored not stored refs pending

A note on non-homogeneous hyperbolic operators with low-regularity coefficients

Ferruccio Colombini, Francesco Fanelli

arxiv:1305.1133 v1 · 2013-05-06 · 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{TJTFWRY6G56KD5UWJ5FJ736IZV}

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	2026-05-18T03:26:24.050153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a665b471e377ca1f6964f4a9fefc8cd5c1135fbd2b4c863c0625498b9fb38c2

Aliases

arxiv: 1305.1133 · arxiv_version: 1305.1133v1 · doi: 10.48550/arxiv.1305.1133 · pith_short_12: TJTFWRY6G56K · pith_short_16: TJTFWRY6G56KD5UW · pith_short_8: TJTFWRY6

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/TJTFWRY6G56KD5UWJ5FJ736IZV \
  | 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: 9a665b471e377ca1f6964f4a9fefc8cd5c1135fbd2b4c863c0625498b9fb38c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a74d12018fe8e34f2bb663bc00fd5848188a70e4dc7f6d6f494fcf2f2b5da58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-05-06T10:02:05Z",
    "title_canon_sha256": "95c5270aa17724d72e7f7c30c8552c6bb090ccd2682ca5ab072e7303bbf558c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1133",
    "kind": "arxiv",
    "version": 1
  }
}