Pith Number

pith:EPKP5MTE

pith:2009:EPKP5MTECG3MS2F25KT5RHEM2H

not attested not anchored not stored refs pending

Dominant energy condition and causality for Skyrme-like generalizations of the wave-map equation

Willie Wai-Yeung Wong

arxiv:0909.4706 v4 · 2009-09-25 · math-ph · hep-th · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EPKP5MTECG3MS2F25KT5RHEM2H}

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	2026-05-18T04:35:57.249414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23d4feb26411b6c968baeaa7d89c8cd1c98ec9312abbac1e9b9e89ae5a70499b

Aliases

arxiv: 0909.4706 · arxiv_version: 0909.4706v4 · doi: 10.48550/arxiv.0909.4706 · pith_short_12: EPKP5MTECG3M · pith_short_16: EPKP5MTECG3MS2F2 · pith_short_8: EPKP5MTE

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/EPKP5MTECG3MS2F25KT5RHEM2H \
  | 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: 23d4feb26411b6c968baeaa7d89c8cd1c98ec9312abbac1e9b9e89ae5a70499b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28e7f562b3f1b5174f527314e9a070d977afb1f5663383d7181eb79d4b2e1b3b",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-09-25T14:10:55Z",
    "title_canon_sha256": "c837d5c12ed35e0b03420674b7f314585a1a9d39bdc079b5399145143356b24f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4706",
    "kind": "arxiv",
    "version": 4
  }
}