Pith Number

pith:GLXVZZPK

pith:2015:GLXVZZPK37F4Y6MNYLEOPB55ZY

not attested not anchored not stored refs pending

On t-dependent hyperbolic systems. Part 2

Jens Wirth

arxiv:1508.02635 v3 · 2015-08-11 · 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{GLXVZZPK37F4Y6MNYLEOPB55ZY}

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	2026-05-18T00:22:06.953777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32ef5ce5eadfcbcc798dc2c8e787bdce16aff350a15ab4cb1db006f40e75e021

Aliases

arxiv: 1508.02635 · arxiv_version: 1508.02635v3 · doi: 10.48550/arxiv.1508.02635 · pith_short_12: GLXVZZPK37F4 · pith_short_16: GLXVZZPK37F4Y6MN · pith_short_8: GLXVZZPK

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/GLXVZZPK37F4Y6MNYLEOPB55ZY \
  | 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: 32ef5ce5eadfcbcc798dc2c8e787bdce16aff350a15ab4cb1db006f40e75e021

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28af057936cf975d83a75d5a066d6bc9e58e260fd1877589bdcd47f8a9538023",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-11T15:47:36Z",
    "title_canon_sha256": "b3e836598dea8201df3ee20b971a35f3ab455aadcd97f837f069865a270a391a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02635",
    "kind": "arxiv",
    "version": 3
  }
}