Pith Number

pith:PBYTDKVL

pith:2018:PBYTDKVL5TSHPWVBX3VJY4QHCT

not attested not anchored not stored refs pending

Long-time asymptotics for the Massive Thirring model

Aaron Saalmann

arxiv:1807.00623 v1 · 2018-07-02 · 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{PBYTDKVL5TSHPWVBX3VJY4QHCT}

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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.

Cited by

1 paper in Pith

Decay of solutions of nonlinear Dirac equations

Receipt and verification

First computed	2026-05-18T00:11:51.981728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

787131aaabece477daa1beea9c720714cc4824ee41b1707059510d80fcbb5657

Aliases

arxiv: 1807.00623 · arxiv_version: 1807.00623v1 · doi: 10.48550/arxiv.1807.00623 · pith_short_12: PBYTDKVL5TSH · pith_short_16: PBYTDKVL5TSHPWVB · pith_short_8: PBYTDKVL

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/PBYTDKVL5TSHPWVBX3VJY4QHCT \
  | 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: 787131aaabece477daa1beea9c720714cc4824ee41b1707059510d80fcbb5657

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffc683187543192340ee47ad9ac73711e962c3d8711d02fdfa4ae54e9ffa3aa3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-07-02T12:23:43Z",
    "title_canon_sha256": "20066366bb7dea123456063a508aa734b9769cd5ca56c2bf8af5441c450bf9b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.00623",
    "kind": "arxiv",
    "version": 1
  }
}