Pith Number

pith:XOTTFRQ3

pith:2019:XOTTFRQ3I4L6PNTX4IVNOI57PT

not attested not anchored not stored refs pending

Geometric Partial Differential Equations from Unified String Theories

Duong H. Phong

arxiv:1906.03693 v1 · 2019-06-09 · math.AP · 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{XOTTFRQ3I4L6PNTX4IVNOI57PT}

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	2026-05-17T23:43:45.296146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bba732c61b4717e7b677e22ad723bf7ceb5e8680347b26f62788bcfc67bf2cea

Aliases

arxiv: 1906.03693 · arxiv_version: 1906.03693v1 · doi: 10.48550/arxiv.1906.03693 · pith_short_12: XOTTFRQ3I4L6 · pith_short_16: XOTTFRQ3I4L6PNTX · pith_short_8: XOTTFRQ3

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/XOTTFRQ3I4L6PNTX4IVNOI57PT \
  | 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: bba732c61b4717e7b677e22ad723bf7ceb5e8680347b26f62788bcfc67bf2cea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dedf50828b2a8aee4ba7a1419873e7cac2b7a5da7f0820675869631177949f29",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-09T19:23:51Z",
    "title_canon_sha256": "7a9450ceeb255b4740472b82c3ff28f2f4ba0a4d4cb0ac021ab79edc7f34c806"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.03693",
    "kind": "arxiv",
    "version": 1
  }
}