Pith Number

pith:NBDGRCDZ

pith:2019:NBDGRCDZ72OWPLLEF3K5UMBYPC

not attested not anchored not stored refs pending

Global existence of solutions to nonlinear Volterra integral equations

Alexander G. Ramm

arxiv:1904.11364 v1 · 2019-04-21 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NBDGRCDZ72OWPLLEF3K5UMBYPC}

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	2026-05-17T23:47:45.123111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6846688879fe9d67ad642ed5da303878ba3b0df3074bb84aa13a625dbde3e9bf

Aliases

arxiv: 1904.11364 · arxiv_version: 1904.11364v1 · doi: 10.48550/arxiv.1904.11364 · pith_short_12: NBDGRCDZ72OW · pith_short_16: NBDGRCDZ72OWPLLE · pith_short_8: NBDGRCDZ

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/NBDGRCDZ72OWPLLEF3K5UMBYPC \
  | 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: 6846688879fe9d67ad642ed5da303878ba3b0df3074bb84aa13a625dbde3e9bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d3cb34b01f69d78d96c7262513bb759bcf58ac289f9dca2d016317e7a323448",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2019-04-21T18:35:34Z",
    "title_canon_sha256": "d7f4f13ef3e586fec4cf0c9d41dbd2c20a23b06d24c59b6dd1935037467ee8a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.11364",
    "kind": "arxiv",
    "version": 1
  }
}