Pith Number

pith:TWPZABNH

pith:2017:TWPZABNHN4OMWARBREJ2KW4D36

not attested not anchored not stored refs pending

Estimates for solutions of Dirac equations and an application to a geometric elliptic-parabolic problem

J\"urgen Jost, Linlin Sun, Miaomiao Zhu, Qun Chen

arxiv:1707.03151 v1 · 2017-07-11 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TWPZABNHN4OMWARBREJ2KW4D36}

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	2026-05-18T00:40:34.161624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d9f9005a76f1ccb02218913a55b83dfbd6afad4d123656fa102745c9c93bd8c

Aliases

arxiv: 1707.03151 · arxiv_version: 1707.03151v1 · doi: 10.48550/arxiv.1707.03151 · pith_short_12: TWPZABNHN4OM · pith_short_16: TWPZABNHN4OMWARB · pith_short_8: TWPZABNH

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/TWPZABNHN4OMWARBREJ2KW4D36 \
  | 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: 9d9f9005a76f1ccb02218913a55b83dfbd6afad4d123656fa102745c9c93bd8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0529baa9b1e7c649e73e7e943bc903db0137604875cca7424292de2b760c3675",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-07-11T07:14:19Z",
    "title_canon_sha256": "f48f0ded9147538d0693fab5c26ec74cfe3b1ef9cb7561648ab76093ff51e17d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03151",
    "kind": "arxiv",
    "version": 1
  }
}