Pith Number

pith:O3IGU66B

pith:2016:O3IGU66BEYRTMGCBODMGVN5YJX

not attested not anchored not stored refs pending

Volterra type operators on growth Fock spaces

Evgeny Abakumov, Evgueni Doubtsov

arxiv:1611.04101 v1 · 2016-11-13 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O3IGU66BEYRTMGCBODMGVN5YJX}

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	2026-05-18T00:59:17.560406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76d06a7bc1262336184170d86ab7b84dcc620cbcccbd732c30f0a1b307d960c0

Aliases

arxiv: 1611.04101 · arxiv_version: 1611.04101v1 · doi: 10.48550/arxiv.1611.04101 · pith_short_12: O3IGU66BEYRT · pith_short_16: O3IGU66BEYRTMGCB · pith_short_8: O3IGU66B

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/O3IGU66BEYRTMGCBODMGVN5YJX \
  | 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: 76d06a7bc1262336184170d86ab7b84dcc620cbcccbd732c30f0a1b307d960c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f85c320c5c10a7d81642ec61ee078fa5bd0e8a907265c5f12691c96fdd0c2fb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-11-13T08:01:08Z",
    "title_canon_sha256": "e7b69fc96661abc02dc804b1464d475ccb33c1b20bbc8839ff6c7aa081064666"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04101",
    "kind": "arxiv",
    "version": 1
  }
}