Pith Number

pith:WT4SM6KO

pith:2015:WT4SM6KO3FNHW675OJKXPG3HGU

not attested not anchored not stored refs pending

Spectral asymptotics for first order systems

Dmitri Vassiliev, Yan-Long Fang, Zhirayr Avetisyan

arxiv:1512.06281 v2 · 2015-12-19 · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WT4SM6KO3FNHW675OJKXPG3HGU}

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	2026-05-18T00:55:25.423239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4f926794ed95a7b7bfd7255779b6735217d69b4bf652abc85c5db7b3612b0ab

Aliases

arxiv: 1512.06281 · arxiv_version: 1512.06281v2 · doi: 10.48550/arxiv.1512.06281 · pith_short_12: WT4SM6KO3FNH · pith_short_16: WT4SM6KO3FNHW675 · pith_short_8: WT4SM6KO

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/WT4SM6KO3FNHW675OJKXPG3HGU \
  | 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: b4f926794ed95a7b7bfd7255779b6735217d69b4bf652abc85c5db7b3612b0ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33138dabf5bce7a73e6e986f3b0d5a76f0a4c0b71ac616e9c25f6e6a08a057c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-12-19T19:45:01Z",
    "title_canon_sha256": "101e59876a1f09106a644115ed13e5261d0ea74022454f99c07681178437e96c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06281",
    "kind": "arxiv",
    "version": 2
  }
}