Pith Number

pith:TGCWQ2KJ

pith:2026:TGCWQ2KJBXCOGF4AEWV2PUSYLZ

not attested not anchored not stored refs pending

Mixed double phase equations with local and nonlocal operators

Anupma Arora, Patrick Winkert, Shilpa Gupta

arxiv:2603.01100 v2 · 2026-03-01 · 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{TGCWQ2KJBXCOGF4AEWV2PUSYLZ}

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	2026-05-26T02:05:08.069352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99856869490dc4e3178025aba7d2585e7fde225a6376ec10552239c1ac5f1f4d

Aliases

arxiv: 2603.01100 · arxiv_version: 2603.01100v2 · doi: 10.48550/arxiv.2603.01100 · pith_short_12: TGCWQ2KJBXCO · pith_short_16: TGCWQ2KJBXCOGF4A · pith_short_8: TGCWQ2KJ

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/TGCWQ2KJBXCOGF4AEWV2PUSYLZ \
  | 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: 99856869490dc4e3178025aba7d2585e7fde225a6376ec10552239c1ac5f1f4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b343571ffa785805d978f914d401354291c3270c9b8c0adb5c2848b541a77cb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-03-01T13:40:06Z",
    "title_canon_sha256": "0c9a39992fb5903cb06c5c0aada9e1081b63700a1ae4041f419d607af03849e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.01100",
    "kind": "arxiv",
    "version": 2
  }
}